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Finding the Third Proportional to 121,015.13 and 161,631

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Solution

The third proportional to 121,015.13 and 161,631 is: 215,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,015.13 : 161,631 = 161,631 : x
  2. Step 2: Convert to fraction form
    121,015.13/161,631 = 161,631/x
  3. Step 3: Cross multiply
    121,015.13x = 161,631 × 161,631
  4. Step 4: Simplify right side
    121,015.13x = 26,124,580,161
  5. Step 5: Solve for x
    x = 26,124,580,161/121,015.13
  6. Step 6: Final answer
    x = 215,878.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.