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Finding the Third Proportional to 55,724 and 86,320

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Solution

The third proportional to 55,724 and 86,320 is: 133,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724 : 86,320 = 86,320 : x
  2. Step 2: Convert to fraction form
    55,724/86,320 = 86,320/x
  3. Step 3: Cross multiply
    55,724x = 86,320 × 86,320
  4. Step 4: Simplify right side
    55,724x = 7,451,142,400
  5. Step 5: Solve for x
    x = 7,451,142,400/55,724
  6. Step 6: Final answer
    x = 133,715.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.