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Finding the Third Proportional to 67,942 and 102,939

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Solution

The third proportional to 67,942 and 102,939 is: 155,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,942 : 102,939 = 102,939 : x
  2. Step 2: Convert to fraction form
    67,942/102,939 = 102,939/x
  3. Step 3: Cross multiply
    67,942x = 102,939 × 102,939
  4. Step 4: Simplify right side
    67,942x = 10,596,437,721
  5. Step 5: Solve for x
    x = 10,596,437,721/67,942
  6. Step 6: Final answer
    x = 155,962.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.