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Finding the Third Proportional to 78,911.72 and 167,680.13

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Solution

The third proportional to 78,911.72 and 167,680.13 is: 356,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,911.72 : 167,680.13 = 167,680.13 : x
  2. Step 2: Convert to fraction form
    78,911.72/167,680.13 = 167,680.13/x
  3. Step 3: Cross multiply
    78,911.72x = 167,680.13 × 167,680.13
  4. Step 4: Simplify right side
    78,911.72x = 28,116,624,320.02
  5. Step 5: Solve for x
    x = 28,116,624,320.02/78,911.72
  6. Step 6: Final answer
    x = 356,304.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.