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Finding the Third Proportional to 61,182 and 86,160

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Solution

The third proportional to 61,182 and 86,160 is: 121,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,182 : 86,160 = 86,160 : x
  2. Step 2: Convert to fraction form
    61,182/86,160 = 86,160/x
  3. Step 3: Cross multiply
    61,182x = 86,160 × 86,160
  4. Step 4: Simplify right side
    61,182x = 7,423,545,600
  5. Step 5: Solve for x
    x = 7,423,545,600/61,182
  6. Step 6: Final answer
    x = 121,335.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.