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Finding the Third Proportional to 121,770 and 182,160

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Solution

The third proportional to 121,770 and 182,160 is: 272,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770 : 182,160 = 182,160 : x
  2. Step 2: Convert to fraction form
    121,770/182,160 = 182,160/x
  3. Step 3: Cross multiply
    121,770x = 182,160 × 182,160
  4. Step 4: Simplify right side
    121,770x = 33,182,265,600
  5. Step 5: Solve for x
    x = 33,182,265,600/121,770
  6. Step 6: Final answer
    x = 272,499.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.