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Finding the Third Proportional to 78,605.96 and 169,660.30

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Solution

The third proportional to 78,605.96 and 169,660.30 is: 366,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,605.96 : 169,660.30 = 169,660.30 : x
  2. Step 2: Convert to fraction form
    78,605.96/169,660.30 = 169,660.30/x
  3. Step 3: Cross multiply
    78,605.96x = 169,660.30 × 169,660.30
  4. Step 4: Simplify right side
    78,605.96x = 28,784,617,661.18
  5. Step 5: Solve for x
    x = 28,784,617,661.18/78,605.96
  6. Step 6: Final answer
    x = 366,188.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.