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Finding the Third Proportional to 165,712 and 259,231

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Solution

The third proportional to 165,712 and 259,231 is: 405,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,712 : 259,231 = 259,231 : x
  2. Step 2: Convert to fraction form
    165,712/259,231 = 259,231/x
  3. Step 3: Cross multiply
    165,712x = 259,231 × 259,231
  4. Step 4: Simplify right side
    165,712x = 67,200,711,361
  5. Step 5: Solve for x
    x = 67,200,711,361/165,712
  6. Step 6: Final answer
    x = 405,527.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.