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Finding the Third Proportional to 280,617.19 and 615,562.88

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Solution

The third proportional to 280,617.19 and 615,562.88 is: 1,350,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,617.19 : 615,562.88 = 615,562.88 : x
  2. Step 2: Convert to fraction form
    280,617.19/615,562.88 = 615,562.88/x
  3. Step 3: Cross multiply
    280,617.19x = 615,562.88 × 615,562.88
  4. Step 4: Simplify right side
    280,617.19x = 378,917,653,078.27
  5. Step 5: Solve for x
    x = 378,917,653,078.27/280,617.19
  6. Step 6: Final answer
    x = 1,350,300.94

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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.