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Finding the Third Proportional to 498,619,273,138 and 1,011,113,209,980

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Solution

The third proportional to 498,619,273,138 and 1,011,113,209,980 is: 2,050,361,826,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,619,273,138 : 1,011,113,209,980 = 1,011,113,209,980 : x
  2. Step 2: Convert to fraction form
    498,619,273,138/1,011,113,209,980 = 1,011,113,209,980/x
  3. Step 3: Cross multiply
    498,619,273,138x = 1,011,113,209,980 × 1,011,113,209,980
  4. Step 4: Simplify right side
    498,619,273,138x = 1,022,349,923,396,059,507,195,904
  5. Step 5: Solve for x
    x = 1,022,349,923,396,059,507,195,904/498,619,273,138
  6. Step 6: Final answer
    x = 2,050,361,826,092.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.