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Finding the Third Proportional to 55,580 and 86,068

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Solution

The third proportional to 55,580 and 86,068 is: 133,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,580 : 86,068 = 86,068 : x
  2. Step 2: Convert to fraction form
    55,580/86,068 = 86,068/x
  3. Step 3: Cross multiply
    55,580x = 86,068 × 86,068
  4. Step 4: Simplify right side
    55,580x = 7,407,700,624
  5. Step 5: Solve for x
    x = 7,407,700,624/55,580
  6. Step 6: Final answer
    x = 133,279.97

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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.