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Finding the Third Proportional to 280,376 and 616,801

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Solution

The third proportional to 280,376 and 616,801 is: 1,356,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376 : 616,801 = 616,801 : x
  2. Step 2: Convert to fraction form
    280,376/616,801 = 616,801/x
  3. Step 3: Cross multiply
    280,376x = 616,801 × 616,801
  4. Step 4: Simplify right side
    280,376x = 380,443,473,601
  5. Step 5: Solve for x
    x = 380,443,473,601/280,376
  6. Step 6: Final answer
    x = 1,356,904.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.