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Finding the Third Proportional to 55,140 and 87,634

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Solution

The third proportional to 55,140 and 87,634 is: 139,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,140 : 87,634 = 87,634 : x
  2. Step 2: Convert to fraction form
    55,140/87,634 = 87,634/x
  3. Step 3: Cross multiply
    55,140x = 87,634 × 87,634
  4. Step 4: Simplify right side
    55,140x = 7,679,717,956
  5. Step 5: Solve for x
    x = 7,679,717,956/55,140
  6. Step 6: Final answer
    x = 139,276.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.