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Finding the Third Proportional to 77,250 and 103,467

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Solution

The third proportional to 77,250 and 103,467 is: 138,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,250 : 103,467 = 103,467 : x
  2. Step 2: Convert to fraction form
    77,250/103,467 = 103,467/x
  3. Step 3: Cross multiply
    77,250x = 103,467 × 103,467
  4. Step 4: Simplify right side
    77,250x = 10,705,420,089
  5. Step 5: Solve for x
    x = 10,705,420,089/77,250
  6. Step 6: Final answer
    x = 138,581.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.