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Finding the Third Proportional to 281,948 and 415,132

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Solution

The third proportional to 281,948 and 415,132 is: 611,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,948 : 415,132 = 415,132 : x
  2. Step 2: Convert to fraction form
    281,948/415,132 = 415,132/x
  3. Step 3: Cross multiply
    281,948x = 415,132 × 415,132
  4. Step 4: Simplify right side
    281,948x = 172,334,577,424
  5. Step 5: Solve for x
    x = 172,334,577,424/281,948
  6. Step 6: Final answer
    x = 611,228.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.