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Finding the Third Proportional to 61,344 and 86,820

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Solution

The third proportional to 61,344 and 86,820 is: 122,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,344 : 86,820 = 86,820 : x
  2. Step 2: Convert to fraction form
    61,344/86,820 = 86,820/x
  3. Step 3: Cross multiply
    61,344x = 86,820 × 86,820
  4. Step 4: Simplify right side
    61,344x = 7,537,712,400
  5. Step 5: Solve for x
    x = 7,537,712,400/61,344
  6. Step 6: Final answer
    x = 122,876.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.