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Finding the Third Proportional to 457,053 and 990,374.25

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Solution

The third proportional to 457,053 and 990,374.25 is: 2,146,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,053 : 990,374.25 = 990,374.25 : x
  2. Step 2: Convert to fraction form
    457,053/990,374.25 = 990,374.25/x
  3. Step 3: Cross multiply
    457,053x = 990,374.25 × 990,374.25
  4. Step 4: Simplify right side
    457,053x = 980,841,155,063.06
  5. Step 5: Solve for x
    x = 980,841,155,063.06/457,053
  6. Step 6: Final answer
    x = 2,146,011.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.