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Finding the Third Proportional to 281,411.09 and 615,369.97

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Solution

The third proportional to 281,411.09 and 615,369.97 is: 1,345,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,411.09 : 615,369.97 = 615,369.97 : x
  2. Step 2: Convert to fraction form
    281,411.09/615,369.97 = 615,369.97/x
  3. Step 3: Cross multiply
    281,411.09x = 615,369.97 × 615,369.97
  4. Step 4: Simplify right side
    281,411.09x = 378,680,203,246.95
  5. Step 5: Solve for x
    x = 378,680,203,246.95/281,411.09
  6. Step 6: Final answer
    x = 1,345,647.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.