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Finding the Third Proportional to 55,132 and 87,620

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Solution

The third proportional to 55,132 and 87,620 is: 139,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,132 : 87,620 = 87,620 : x
  2. Step 2: Convert to fraction form
    55,132/87,620 = 87,620/x
  3. Step 3: Cross multiply
    55,132x = 87,620 × 87,620
  4. Step 4: Simplify right side
    55,132x = 7,677,264,400
  5. Step 5: Solve for x
    x = 7,677,264,400/55,132
  6. Step 6: Final answer
    x = 139,252.42

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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.