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Finding the Third Proportional to 55,700 and 80,478

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Solution

The third proportional to 55,700 and 80,478 is: 116,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700 : 80,478 = 80,478 : x
  2. Step 2: Convert to fraction form
    55,700/80,478 = 80,478/x
  3. Step 3: Cross multiply
    55,700x = 80,478 × 80,478
  4. Step 4: Simplify right side
    55,700x = 6,476,708,484
  5. Step 5: Solve for x
    x = 6,476,708,484/55,700
  6. Step 6: Final answer
    x = 116,278.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.