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Finding the Third Proportional to 403,342 and 532,405

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Solution

The third proportional to 403,342 and 532,405 is: 702,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,342 : 532,405 = 532,405 : x
  2. Step 2: Convert to fraction form
    403,342/532,405 = 532,405/x
  3. Step 3: Cross multiply
    403,342x = 532,405 × 532,405
  4. Step 4: Simplify right side
    403,342x = 283,455,084,025
  5. Step 5: Solve for x
    x = 283,455,084,025/403,342
  6. Step 6: Final answer
    x = 702,766.10

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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.