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Finding the Third Proportional to 85,920 and 130,068

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Solution

The third proportional to 85,920 and 130,068 is: 196,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,920 : 130,068 = 130,068 : x
  2. Step 2: Convert to fraction form
    85,920/130,068 = 130,068/x
  3. Step 3: Cross multiply
    85,920x = 130,068 × 130,068
  4. Step 4: Simplify right side
    85,920x = 16,917,684,624
  5. Step 5: Solve for x
    x = 16,917,684,624/85,920
  6. Step 6: Final answer
    x = 196,900.43

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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.