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Finding the Third Proportional to 61,284 and 86,720

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Solution

The third proportional to 61,284 and 86,720 is: 122,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284 : 86,720 = 86,720 : x
  2. Step 2: Convert to fraction form
    61,284/86,720 = 86,720/x
  3. Step 3: Cross multiply
    61,284x = 86,720 × 86,720
  4. Step 4: Simplify right side
    61,284x = 7,520,358,400
  5. Step 5: Solve for x
    x = 7,520,358,400/61,284
  6. Step 6: Final answer
    x = 122,713.24

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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.