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Finding the Third Proportional to 102,890 and 136,558

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Solution

The third proportional to 102,890 and 136,558 is: 181,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890 : 136,558 = 136,558 : x
  2. Step 2: Convert to fraction form
    102,890/136,558 = 136,558/x
  3. Step 3: Cross multiply
    102,890x = 136,558 × 136,558
  4. Step 4: Simplify right side
    102,890x = 18,648,087,364
  5. Step 5: Solve for x
    x = 18,648,087,364/102,890
  6. Step 6: Final answer
    x = 181,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.