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Finding the Third Proportional to 78,469 and 168,170

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Solution

The third proportional to 78,469 and 168,170 is: 360,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469 : 168,170 = 168,170 : x
  2. Step 2: Convert to fraction form
    78,469/168,170 = 168,170/x
  3. Step 3: Cross multiply
    78,469x = 168,170 × 168,170
  4. Step 4: Simplify right side
    78,469x = 28,281,148,900
  5. Step 5: Solve for x
    x = 28,281,148,900/78,469
  6. Step 6: Final answer
    x = 360,411.74

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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.