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Finding the Third Proportional to 261,930 and 387,984

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Solution

The third proportional to 261,930 and 387,984 is: 574,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,930 : 387,984 = 387,984 : x
  2. Step 2: Convert to fraction form
    261,930/387,984 = 387,984/x
  3. Step 3: Cross multiply
    261,930x = 387,984 × 387,984
  4. Step 4: Simplify right side
    261,930x = 150,531,584,256
  5. Step 5: Solve for x
    x = 150,531,584,256/261,930
  6. Step 6: Final answer
    x = 574,701.58

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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.