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Finding the Third Proportional to 261,934 and 387,986

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Solution

The third proportional to 261,934 and 387,986 is: 574,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,934 : 387,986 = 387,986 : x
  2. Step 2: Convert to fraction form
    261,934/387,986 = 387,986/x
  3. Step 3: Cross multiply
    261,934x = 387,986 × 387,986
  4. Step 4: Simplify right side
    261,934x = 150,533,136,196
  5. Step 5: Solve for x
    x = 150,533,136,196/261,934
  6. Step 6: Final answer
    x = 574,698.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.