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Finding the Third Proportional to 385,442 and 565,565

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Solution

The third proportional to 385,442 and 565,565 is: 829,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,442 : 565,565 = 565,565 : x
  2. Step 2: Convert to fraction form
    385,442/565,565 = 565,565/x
  3. Step 3: Cross multiply
    385,442x = 565,565 × 565,565
  4. Step 4: Simplify right side
    385,442x = 319,863,769,225
  5. Step 5: Solve for x
    x = 319,863,769,225/385,442
  6. Step 6: Final answer
    x = 829,862.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.