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Finding the Third Proportional to 78,474.50 and 167,722

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Solution

The third proportional to 78,474.50 and 167,722 is: 358,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474.50 : 167,722 = 167,722 : x
  2. Step 2: Convert to fraction form
    78,474.50/167,722 = 167,722/x
  3. Step 3: Cross multiply
    78,474.50x = 167,722 × 167,722
  4. Step 4: Simplify right side
    78,474.50x = 28,130,669,284
  5. Step 5: Solve for x
    x = 28,130,669,284/78,474.50
  6. Step 6: Final answer
    x = 358,468.92

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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.