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Finding the Third Proportional to 78,838 and 169,340

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Solution

The third proportional to 78,838 and 169,340 is: 363,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838 : 169,340 = 169,340 : x
  2. Step 2: Convert to fraction form
    78,838/169,340 = 169,340/x
  3. Step 3: Cross multiply
    78,838x = 169,340 × 169,340
  4. Step 4: Simplify right side
    78,838x = 28,676,035,600
  5. Step 5: Solve for x
    x = 28,676,035,600/78,838
  6. Step 6: Final answer
    x = 363,733.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.