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Finding the Third Proportional to 67,489 and 99,039

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Solution

The third proportional to 67,489 and 99,039 is: 145,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,489 : 99,039 = 99,039 : x
  2. Step 2: Convert to fraction form
    67,489/99,039 = 99,039/x
  3. Step 3: Cross multiply
    67,489x = 99,039 × 99,039
  4. Step 4: Simplify right side
    67,489x = 9,808,723,521
  5. Step 5: Solve for x
    x = 9,808,723,521/67,489
  6. Step 6: Final answer
    x = 145,338.11

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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.