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Finding the Third Proportional to 90,416 and 133,780

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Solution

The third proportional to 90,416 and 133,780 is: 197,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,416 : 133,780 = 133,780 : x
  2. Step 2: Convert to fraction form
    90,416/133,780 = 133,780/x
  3. Step 3: Cross multiply
    90,416x = 133,780 × 133,780
  4. Step 4: Simplify right side
    90,416x = 17,897,088,400
  5. Step 5: Solve for x
    x = 17,897,088,400/90,416
  6. Step 6: Final answer
    x = 197,941.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.