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Finding the Third Proportional to 280,344 and 611,376

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Solution

The third proportional to 280,344 and 611,376 is: 1,333,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344 : 611,376 = 611,376 : x
  2. Step 2: Convert to fraction form
    280,344/611,376 = 611,376/x
  3. Step 3: Cross multiply
    280,344x = 611,376 × 611,376
  4. Step 4: Simplify right side
    280,344x = 373,780,613,376
  5. Step 5: Solve for x
    x = 373,780,613,376/280,344
  6. Step 6: Final answer
    x = 1,333,292.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.