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Finding the Third Proportional to 78,713 and 169,865

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Solution

The third proportional to 78,713 and 169,865 is: 366,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,713 : 169,865 = 169,865 : x
  2. Step 2: Convert to fraction form
    78,713/169,865 = 169,865/x
  3. Step 3: Cross multiply
    78,713x = 169,865 × 169,865
  4. Step 4: Simplify right side
    78,713x = 28,854,118,225
  5. Step 5: Solve for x
    x = 28,854,118,225/78,713
  6. Step 6: Final answer
    x = 366,573.73

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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.