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Finding the Third Proportional to 121,076 and 239,047

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Solution

The third proportional to 121,076 and 239,047 is: 471,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,076 : 239,047 = 239,047 : x
  2. Step 2: Convert to fraction form
    121,076/239,047 = 239,047/x
  3. Step 3: Cross multiply
    121,076x = 239,047 × 239,047
  4. Step 4: Simplify right side
    121,076x = 57,143,468,209
  5. Step 5: Solve for x
    x = 57,143,468,209/121,076
  6. Step 6: Final answer
    x = 471,963.63

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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.