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Finding the Third Proportional to 399,201.75 and 602,947.13

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Solution

The third proportional to 399,201.75 and 602,947.13 is: 910,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,201.75 : 602,947.13 = 602,947.13 : x
  2. Step 2: Convert to fraction form
    399,201.75/602,947.13 = 602,947.13/x
  3. Step 3: Cross multiply
    399,201.75x = 602,947.13 × 602,947.13
  4. Step 4: Simplify right side
    399,201.75x = 363,545,235,545.77
  5. Step 5: Solve for x
    x = 363,545,235,545.77/399,201.75
  6. Step 6: Final answer
    x = 910,680.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.