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Finding the Third Proportional to 65,517.19 and 140,378.06

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Solution

The third proportional to 65,517.19 and 140,378.06 is: 300,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,517.19 : 140,378.06 = 140,378.06 : x
  2. Step 2: Convert to fraction form
    65,517.19/140,378.06 = 140,378.06/x
  3. Step 3: Cross multiply
    65,517.19x = 140,378.06 × 140,378.06
  4. Step 4: Simplify right side
    65,517.19x = 19,706,000,431.25
  5. Step 5: Solve for x
    x = 19,706,000,431.25/65,517.19
  6. Step 6: Final answer
    x = 300,776.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.