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Finding the Third Proportional to 272,862 and 420,957

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Solution

The third proportional to 272,862 and 420,957 is: 649,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,862 : 420,957 = 420,957 : x
  2. Step 2: Convert to fraction form
    272,862/420,957 = 420,957/x
  3. Step 3: Cross multiply
    272,862x = 420,957 × 420,957
  4. Step 4: Simplify right side
    272,862x = 177,204,795,849
  5. Step 5: Solve for x
    x = 177,204,795,849/272,862
  6. Step 6: Final answer
    x = 649,430.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.