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Finding the Third Proportional to 121,076 and 239,060

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Solution

The third proportional to 121,076 and 239,060 is: 472,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,076 : 239,060 = 239,060 : x
  2. Step 2: Convert to fraction form
    121,076/239,060 = 239,060/x
  3. Step 3: Cross multiply
    121,076x = 239,060 × 239,060
  4. Step 4: Simplify right side
    121,076x = 57,149,683,600
  5. Step 5: Solve for x
    x = 57,149,683,600/121,076
  6. Step 6: Final answer
    x = 472,014.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.