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Finding the Third Proportional to 78,271 and 169,304

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Solution

The third proportional to 78,271 and 169,304 is: 366,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,271 : 169,304 = 169,304 : x
  2. Step 2: Convert to fraction form
    78,271/169,304 = 169,304/x
  3. Step 3: Cross multiply
    78,271x = 169,304 × 169,304
  4. Step 4: Simplify right side
    78,271x = 28,663,844,416
  5. Step 5: Solve for x
    x = 28,663,844,416/78,271
  6. Step 6: Final answer
    x = 366,212.83

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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.