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Finding the Third Proportional to 68,047.88 and 102,139.88

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Solution

The third proportional to 68,047.88 and 102,139.88 is: 153,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.88 : 102,139.88 = 102,139.88 : x
  2. Step 2: Convert to fraction form
    68,047.88/102,139.88 = 102,139.88/x
  3. Step 3: Cross multiply
    68,047.88x = 102,139.88 × 102,139.88
  4. Step 4: Simplify right side
    68,047.88x = 10,432,554,065.02
  5. Step 5: Solve for x
    x = 10,432,554,065.02/68,047.88
  6. Step 6: Final answer
    x = 153,311.97

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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.