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Finding the Third Proportional to 270,780 and 420,972

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Solution

The third proportional to 270,780 and 420,972 is: 654,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,780 : 420,972 = 420,972 : x
  2. Step 2: Convert to fraction form
    270,780/420,972 = 420,972/x
  3. Step 3: Cross multiply
    270,780x = 420,972 × 420,972
  4. Step 4: Simplify right side
    270,780x = 177,217,424,784
  5. Step 5: Solve for x
    x = 177,217,424,784/270,780
  6. Step 6: Final answer
    x = 654,470.14

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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.