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Finding the Third Proportional to 498,129.75 and 1,078,818.75

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Solution

The third proportional to 498,129.75 and 1,078,818.75 is: 2,336,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,129.75 : 1,078,818.75 = 1,078,818.75 : x
  2. Step 2: Convert to fraction form
    498,129.75/1,078,818.75 = 1,078,818.75/x
  3. Step 3: Cross multiply
    498,129.75x = 1,078,818.75 × 1,078,818.75
  4. Step 4: Simplify right side
    498,129.75x = 1,163,849,895,351.56
  5. Step 5: Solve for x
    x = 1,163,849,895,351.56/498,129.75
  6. Step 6: Final answer
    x = 2,336,439.24

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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.