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Finding the Third Proportional to 78,475 and 167,720

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Solution

The third proportional to 78,475 and 167,720 is: 358,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475 : 167,720 = 167,720 : x
  2. Step 2: Convert to fraction form
    78,475/167,720 = 167,720/x
  3. Step 3: Cross multiply
    78,475x = 167,720 × 167,720
  4. Step 4: Simplify right side
    78,475x = 28,129,998,400
  5. Step 5: Solve for x
    x = 28,129,998,400/78,475
  6. Step 6: Final answer
    x = 358,458.09

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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.