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Finding the Third Proportional to 78,695.25 and 168,609.75

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Solution

The third proportional to 78,695.25 and 168,609.75 is: 361,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.25 : 168,609.75 = 168,609.75 : x
  2. Step 2: Convert to fraction form
    78,695.25/168,609.75 = 168,609.75/x
  3. Step 3: Cross multiply
    78,695.25x = 168,609.75 × 168,609.75
  4. Step 4: Simplify right side
    78,695.25x = 28,429,247,795.06
  5. Step 5: Solve for x
    x = 28,429,247,795.06/78,695.25
  6. Step 6: Final answer
    x = 361,257.48

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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.