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Finding the Third Proportional to 78,659.44 and 168,132.38

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Solution

The third proportional to 78,659.44 and 168,132.38 is: 359,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,659.44 : 168,132.38 = 168,132.38 : x
  2. Step 2: Convert to fraction form
    78,659.44/168,132.38 = 168,132.38/x
  3. Step 3: Cross multiply
    78,659.44x = 168,132.38 × 168,132.38
  4. Step 4: Simplify right side
    78,659.44x = 28,268,495,523.14
  5. Step 5: Solve for x
    x = 28,268,495,523.14/78,659.44
  6. Step 6: Final answer
    x = 359,378.31

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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.