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Finding the Third Proportional to 78,101 and 169,225

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Solution

The third proportional to 78,101 and 169,225 is: 366,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101 : 169,225 = 169,225 : x
  2. Step 2: Convert to fraction form
    78,101/169,225 = 169,225/x
  3. Step 3: Cross multiply
    78,101x = 169,225 × 169,225
  4. Step 4: Simplify right side
    78,101x = 28,637,100,625
  5. Step 5: Solve for x
    x = 28,637,100,625/78,101
  6. Step 6: Final answer
    x = 366,667.53

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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.