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Finding the Third Proportional to 270,753 and 420,937

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Solution

The third proportional to 270,753 and 420,937 is: 654,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,753 : 420,937 = 420,937 : x
  2. Step 2: Convert to fraction form
    270,753/420,937 = 420,937/x
  3. Step 3: Cross multiply
    270,753x = 420,937 × 420,937
  4. Step 4: Simplify right side
    270,753x = 177,187,957,969
  5. Step 5: Solve for x
    x = 177,187,957,969/270,753
  6. Step 6: Final answer
    x = 654,426.57

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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.