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Finding the Third Proportional to 403,340 and 532,402

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Solution

The third proportional to 403,340 and 532,402 is: 702,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,340 : 532,402 = 532,402 : x
  2. Step 2: Convert to fraction form
    403,340/532,402 = 532,402/x
  3. Step 3: Cross multiply
    403,340x = 532,402 × 532,402
  4. Step 4: Simplify right side
    403,340x = 283,451,889,604
  5. Step 5: Solve for x
    x = 283,451,889,604/403,340
  6. Step 6: Final answer
    x = 702,761.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.