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Finding the Third Proportional to 56,486 and 120,478

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Solution

The third proportional to 56,486 and 120,478 is: 256,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,486 : 120,478 = 120,478 : x
  2. Step 2: Convert to fraction form
    56,486/120,478 = 120,478/x
  3. Step 3: Cross multiply
    56,486x = 120,478 × 120,478
  4. Step 4: Simplify right side
    56,486x = 14,514,948,484
  5. Step 5: Solve for x
    x = 14,514,948,484/56,486
  6. Step 6: Final answer
    x = 256,965.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.