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Finding the Third Proportional to 280,376 and 615,034

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Solution

The third proportional to 280,376 and 615,034 is: 1,349,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376 : 615,034 = 615,034 : x
  2. Step 2: Convert to fraction form
    280,376/615,034 = 615,034/x
  3. Step 3: Cross multiply
    280,376x = 615,034 × 615,034
  4. Step 4: Simplify right side
    280,376x = 378,266,821,156
  5. Step 5: Solve for x
    x = 378,266,821,156/280,376
  6. Step 6: Final answer
    x = 1,349,141.23

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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.