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Finding the Third Proportional to 81,391 and 169,020

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Solution

The third proportional to 81,391 and 169,020 is: 350,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391 : 169,020 = 169,020 : x
  2. Step 2: Convert to fraction form
    81,391/169,020 = 169,020/x
  3. Step 3: Cross multiply
    81,391x = 169,020 × 169,020
  4. Step 4: Simplify right side
    81,391x = 28,567,760,400
  5. Step 5: Solve for x
    x = 28,567,760,400/81,391
  6. Step 6: Final answer
    x = 350,994.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.