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Finding the Third Proportional to 280,179 and 400,311

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Solution

The third proportional to 280,179 and 400,311 is: 571,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,179 : 400,311 = 400,311 : x
  2. Step 2: Convert to fraction form
    280,179/400,311 = 400,311/x
  3. Step 3: Cross multiply
    280,179x = 400,311 × 400,311
  4. Step 4: Simplify right side
    280,179x = 160,248,896,721
  5. Step 5: Solve for x
    x = 160,248,896,721/280,179
  6. Step 6: Final answer
    x = 571,951.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.