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Finding the Third Proportional to 88,280 and 136,780

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Solution

The third proportional to 88,280 and 136,780 is: 211,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,280 : 136,780 = 136,780 : x
  2. Step 2: Convert to fraction form
    88,280/136,780 = 136,780/x
  3. Step 3: Cross multiply
    88,280x = 136,780 × 136,780
  4. Step 4: Simplify right side
    88,280x = 18,708,768,400
  5. Step 5: Solve for x
    x = 18,708,768,400/88,280
  6. Step 6: Final answer
    x = 211,925.33

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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.