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Finding the Third Proportional to 90,418 and 133,783

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Solution

The third proportional to 90,418 and 133,783 is: 197,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,418 : 133,783 = 133,783 : x
  2. Step 2: Convert to fraction form
    90,418/133,783 = 133,783/x
  3. Step 3: Cross multiply
    90,418x = 133,783 × 133,783
  4. Step 4: Simplify right side
    90,418x = 17,897,891,089
  5. Step 5: Solve for x
    x = 17,897,891,089/90,418
  6. Step 6: Final answer
    x = 197,946.11

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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.