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Finding the Third Proportional to 170,181 and 261,630

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Solution

The third proportional to 170,181 and 261,630 is: 402,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,181 : 261,630 = 261,630 : x
  2. Step 2: Convert to fraction form
    170,181/261,630 = 261,630/x
  3. Step 3: Cross multiply
    170,181x = 261,630 × 261,630
  4. Step 4: Simplify right side
    170,181x = 68,450,256,900
  5. Step 5: Solve for x
    x = 68,450,256,900/170,181
  6. Step 6: Final answer
    x = 402,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.