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Finding the Third Proportional to 270,754 and 420,939

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Solution

The third proportional to 270,754 and 420,939 is: 654,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,754 : 420,939 = 420,939 : x
  2. Step 2: Convert to fraction form
    270,754/420,939 = 420,939/x
  3. Step 3: Cross multiply
    270,754x = 420,939 × 420,939
  4. Step 4: Simplify right side
    270,754x = 177,189,641,721
  5. Step 5: Solve for x
    x = 177,189,641,721/270,754
  6. Step 6: Final answer
    x = 654,430.37

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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.