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Finding the Third Proportional to 73,514 and 103,525

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Solution

The third proportional to 73,514 and 103,525 is: 145,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,514 : 103,525 = 103,525 : x
  2. Step 2: Convert to fraction form
    73,514/103,525 = 103,525/x
  3. Step 3: Cross multiply
    73,514x = 103,525 × 103,525
  4. Step 4: Simplify right side
    73,514x = 10,717,425,625
  5. Step 5: Solve for x
    x = 10,717,425,625/73,514
  6. Step 6: Final answer
    x = 145,787.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.