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Finding the Third Proportional to 55,920 and 84,600

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Solution

The third proportional to 55,920 and 84,600 is: 127,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920 : 84,600 = 84,600 : x
  2. Step 2: Convert to fraction form
    55,920/84,600 = 84,600/x
  3. Step 3: Cross multiply
    55,920x = 84,600 × 84,600
  4. Step 4: Simplify right side
    55,920x = 7,157,160,000
  5. Step 5: Solve for x
    x = 7,157,160,000/55,920
  6. Step 6: Final answer
    x = 127,989.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.