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Finding the Third Proportional to 120,428 and 187,078

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Solution

The third proportional to 120,428 and 187,078 is: 290,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428 : 187,078 = 187,078 : x
  2. Step 2: Convert to fraction form
    120,428/187,078 = 187,078/x
  3. Step 3: Cross multiply
    120,428x = 187,078 × 187,078
  4. Step 4: Simplify right side
    120,428x = 34,998,178,084
  5. Step 5: Solve for x
    x = 34,998,178,084/120,428
  6. Step 6: Final answer
    x = 290,614.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.