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Finding the Third Proportional to 78,869 and 172,306

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Solution

The third proportional to 78,869 and 172,306 is: 376,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869 : 172,306 = 172,306 : x
  2. Step 2: Convert to fraction form
    78,869/172,306 = 172,306/x
  3. Step 3: Cross multiply
    78,869x = 172,306 × 172,306
  4. Step 4: Simplify right side
    78,869x = 29,689,357,636
  5. Step 5: Solve for x
    x = 29,689,357,636/78,869
  6. Step 6: Final answer
    x = 376,438.88

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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.