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Finding the Third Proportional to 78,600.38 and 163,842.75

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Solution

The third proportional to 78,600.38 and 163,842.75 is: 341,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,600.38 : 163,842.75 = 163,842.75 : x
  2. Step 2: Convert to fraction form
    78,600.38/163,842.75 = 163,842.75/x
  3. Step 3: Cross multiply
    78,600.38x = 163,842.75 × 163,842.75
  4. Step 4: Simplify right side
    78,600.38x = 26,844,446,727.56
  5. Step 5: Solve for x
    x = 26,844,446,727.56/78,600.38
  6. Step 6: Final answer
    x = 341,530.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.