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Finding the Third Proportional to 77,090 and 168,151

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Solution

The third proportional to 77,090 and 168,151 is: 366,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,090 : 168,151 = 168,151 : x
  2. Step 2: Convert to fraction form
    77,090/168,151 = 168,151/x
  3. Step 3: Cross multiply
    77,090x = 168,151 × 168,151
  4. Step 4: Simplify right side
    77,090x = 28,274,758,801
  5. Step 5: Solve for x
    x = 28,274,758,801/77,090
  6. Step 6: Final answer
    x = 366,775.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.