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Finding the Third Proportional to 78,869 and 172,013

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Solution

The third proportional to 78,869 and 172,013 is: 375,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869 : 172,013 = 172,013 : x
  2. Step 2: Convert to fraction form
    78,869/172,013 = 172,013/x
  3. Step 3: Cross multiply
    78,869x = 172,013 × 172,013
  4. Step 4: Simplify right side
    78,869x = 29,588,472,169
  5. Step 5: Solve for x
    x = 29,588,472,169/78,869
  6. Step 6: Final answer
    x = 375,159.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.