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Finding the Third Proportional to 283,668 and 431,397

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Solution

The third proportional to 283,668 and 431,397 is: 656,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,668 : 431,397 = 431,397 : x
  2. Step 2: Convert to fraction form
    283,668/431,397 = 431,397/x
  3. Step 3: Cross multiply
    283,668x = 431,397 × 431,397
  4. Step 4: Simplify right side
    283,668x = 186,103,371,609
  5. Step 5: Solve for x
    x = 186,103,371,609/283,668
  6. Step 6: Final answer
    x = 656,060.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.