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Finding the Third Proportional to 253,856 and 551,478

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Solution

The third proportional to 253,856 and 551,478 is: 1,198,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,856 : 551,478 = 551,478 : x
  2. Step 2: Convert to fraction form
    253,856/551,478 = 551,478/x
  3. Step 3: Cross multiply
    253,856x = 551,478 × 551,478
  4. Step 4: Simplify right side
    253,856x = 304,127,984,484
  5. Step 5: Solve for x
    x = 304,127,984,484/253,856
  6. Step 6: Final answer
    x = 1,198,033.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.