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Finding the Third Proportional to 270,427 and 420,923

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Solution

The third proportional to 270,427 and 420,923 is: 655,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,427 : 420,923 = 420,923 : x
  2. Step 2: Convert to fraction form
    270,427/420,923 = 420,923/x
  3. Step 3: Cross multiply
    270,427x = 420,923 × 420,923
  4. Step 4: Simplify right side
    270,427x = 177,176,171,929
  5. Step 5: Solve for x
    x = 177,176,171,929/270,427
  6. Step 6: Final answer
    x = 655,171.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.