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Finding the Third Proportional to 55,156.50 and 82,719

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Solution

The third proportional to 55,156.50 and 82,719 is: 124,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,156.50 : 82,719 = 82,719 : x
  2. Step 2: Convert to fraction form
    55,156.50/82,719 = 82,719/x
  3. Step 3: Cross multiply
    55,156.50x = 82,719 × 82,719
  4. Step 4: Simplify right side
    55,156.50x = 6,842,432,961
  5. Step 5: Solve for x
    x = 6,842,432,961/55,156.50
  6. Step 6: Final answer
    x = 124,054.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.