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Finding the Third Proportional to 65,862 and 145,161

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Solution

The third proportional to 65,862 and 145,161 is: 319,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862 : 145,161 = 145,161 : x
  2. Step 2: Convert to fraction form
    65,862/145,161 = 145,161/x
  3. Step 3: Cross multiply
    65,862x = 145,161 × 145,161
  4. Step 4: Simplify right side
    65,862x = 21,071,715,921
  5. Step 5: Solve for x
    x = 21,071,715,921/65,862
  6. Step 6: Final answer
    x = 319,937.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.