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Finding the Third Proportional to 280,376.58 and 615,034.55

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Solution

The third proportional to 280,376.58 and 615,034.55 is: 1,349,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.58 : 615,034.55 = 615,034.55 : x
  2. Step 2: Convert to fraction form
    280,376.58/615,034.55 = 615,034.55/x
  3. Step 3: Cross multiply
    280,376.58x = 615,034.55 × 615,034.55
  4. Step 4: Simplify right side
    280,376.58x = 378,267,493,849.74
  5. Step 5: Solve for x
    x = 378,267,493,849.74/280,376.58
  6. Step 6: Final answer
    x = 1,349,140.85

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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.