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Finding the Third Proportional to 40,578 and 59,467

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Solution

The third proportional to 40,578 and 59,467 is: 87,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,578 : 59,467 = 59,467 : x
  2. Step 2: Convert to fraction form
    40,578/59,467 = 59,467/x
  3. Step 3: Cross multiply
    40,578x = 59,467 × 59,467
  4. Step 4: Simplify right side
    40,578x = 3,536,324,089
  5. Step 5: Solve for x
    x = 3,536,324,089/40,578
  6. Step 6: Final answer
    x = 87,148.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.