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Finding the Third Proportional to 78,270 and 169,302

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Solution

The third proportional to 78,270 and 169,302 is: 366,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270 : 169,302 = 169,302 : x
  2. Step 2: Convert to fraction form
    78,270/169,302 = 169,302/x
  3. Step 3: Cross multiply
    78,270x = 169,302 × 169,302
  4. Step 4: Simplify right side
    78,270x = 28,663,167,204
  5. Step 5: Solve for x
    x = 28,663,167,204/78,270
  6. Step 6: Final answer
    x = 366,208.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.