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Finding the Third Proportional to 281,948 and 657,900

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Solution

The third proportional to 281,948 and 657,900 is: 1,535,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,948 : 657,900 = 657,900 : x
  2. Step 2: Convert to fraction form
    281,948/657,900 = 657,900/x
  3. Step 3: Cross multiply
    281,948x = 657,900 × 657,900
  4. Step 4: Simplify right side
    281,948x = 432,832,410,000
  5. Step 5: Solve for x
    x = 432,832,410,000/281,948
  6. Step 6: Final answer
    x = 1,535,149.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.