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Finding the Third Proportional to 261,933 and 387,988

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Solution

The third proportional to 261,933 and 387,988 is: 574,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,933 : 387,988 = 387,988 : x
  2. Step 2: Convert to fraction form
    261,933/387,988 = 387,988/x
  3. Step 3: Cross multiply
    261,933x = 387,988 × 387,988
  4. Step 4: Simplify right side
    261,933x = 150,534,688,144
  5. Step 5: Solve for x
    x = 150,534,688,144/261,933
  6. Step 6: Final answer
    x = 574,706.85

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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.