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Finding the Third Proportional to 280,821.94 and 615,098.81

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Solution

The third proportional to 280,821.94 and 615,098.81 is: 1,347,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,821.94 : 615,098.81 = 615,098.81 : x
  2. Step 2: Convert to fraction form
    280,821.94/615,098.81 = 615,098.81/x
  3. Step 3: Cross multiply
    280,821.94x = 615,098.81 × 615,098.81
  4. Step 4: Simplify right side
    280,821.94x = 378,346,549,138.91
  5. Step 5: Solve for x
    x = 378,346,549,138.91/280,821.94
  6. Step 6: Final answer
    x = 1,347,282.74

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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.