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Finding the Third Proportional to 133,414.88 and 288,972

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Solution

The third proportional to 133,414.88 and 288,972 is: 625,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,414.88 : 288,972 = 288,972 : x
  2. Step 2: Convert to fraction form
    133,414.88/288,972 = 288,972/x
  3. Step 3: Cross multiply
    133,414.88x = 288,972 × 288,972
  4. Step 4: Simplify right side
    133,414.88x = 83,504,816,784
  5. Step 5: Solve for x
    x = 83,504,816,784/133,414.88
  6. Step 6: Final answer
    x = 625,903.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.