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Finding the Third Proportional to 61,830 and 132,408

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Solution

The third proportional to 61,830 and 132,408 is: 283,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 132,408 = 132,408 : x
  2. Step 2: Convert to fraction form
    61,830/132,408 = 132,408/x
  3. Step 3: Cross multiply
    61,830x = 132,408 × 132,408
  4. Step 4: Simplify right side
    61,830x = 17,531,878,464
  5. Step 5: Solve for x
    x = 17,531,878,464/61,830
  6. Step 6: Final answer
    x = 283,549.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.