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Finding the Third Proportional to 78,358 and 169,838

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Solution

The third proportional to 78,358 and 169,838 is: 368,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358 : 169,838 = 169,838 : x
  2. Step 2: Convert to fraction form
    78,358/169,838 = 169,838/x
  3. Step 3: Cross multiply
    78,358x = 169,838 × 169,838
  4. Step 4: Simplify right side
    78,358x = 28,844,946,244
  5. Step 5: Solve for x
    x = 28,844,946,244/78,358
  6. Step 6: Final answer
    x = 368,117.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.