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Finding the Third Proportional to 78,311 and 170,689

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Solution

The third proportional to 78,311 and 170,689 is: 372,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311 : 170,689 = 170,689 : x
  2. Step 2: Convert to fraction form
    78,311/170,689 = 170,689/x
  3. Step 3: Cross multiply
    78,311x = 170,689 × 170,689
  4. Step 4: Simplify right side
    78,311x = 29,134,734,721
  5. Step 5: Solve for x
    x = 29,134,734,721/78,311
  6. Step 6: Final answer
    x = 372,038.85

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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.