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Finding the Third Proportional to 402,299 and 607,549

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Solution

The third proportional to 402,299 and 607,549 is: 917,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,299 : 607,549 = 607,549 : x
  2. Step 2: Convert to fraction form
    402,299/607,549 = 607,549/x
  3. Step 3: Cross multiply
    402,299x = 607,549 × 607,549
  4. Step 4: Simplify right side
    402,299x = 369,115,787,401
  5. Step 5: Solve for x
    x = 369,115,787,401/402,299
  6. Step 6: Final answer
    x = 917,516.05

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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.