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Finding the Third Proportional to 403,531 and 565,539

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Solution

The third proportional to 403,531 and 565,539 is: 792,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,531 : 565,539 = 565,539 : x
  2. Step 2: Convert to fraction form
    403,531/565,539 = 565,539/x
  3. Step 3: Cross multiply
    403,531x = 565,539 × 565,539
  4. Step 4: Simplify right side
    403,531x = 319,834,360,521
  5. Step 5: Solve for x
    x = 319,834,360,521/403,531
  6. Step 6: Final answer
    x = 792,589.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.