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Finding the Third Proportional to 78,400 and 172,407

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Solution

The third proportional to 78,400 and 172,407 is: 379,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400 : 172,407 = 172,407 : x
  2. Step 2: Convert to fraction form
    78,400/172,407 = 172,407/x
  3. Step 3: Cross multiply
    78,400x = 172,407 × 172,407
  4. Step 4: Simplify right side
    78,400x = 29,724,173,649
  5. Step 5: Solve for x
    x = 29,724,173,649/78,400
  6. Step 6: Final answer
    x = 379,134.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.