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Finding the Third Proportional to 78,015 and 169,314

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Solution

The third proportional to 78,015 and 169,314 is: 367,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015 : 169,314 = 169,314 : x
  2. Step 2: Convert to fraction form
    78,015/169,314 = 169,314/x
  3. Step 3: Cross multiply
    78,015x = 169,314 × 169,314
  4. Step 4: Simplify right side
    78,015x = 28,667,230,596
  5. Step 5: Solve for x
    x = 28,667,230,596/78,015
  6. Step 6: Final answer
    x = 367,457.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.