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Finding the Third Proportional to 121,899 and 161,784

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Solution

The third proportional to 121,899 and 161,784 is: 214,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,899 : 161,784 = 161,784 : x
  2. Step 2: Convert to fraction form
    121,899/161,784 = 161,784/x
  3. Step 3: Cross multiply
    121,899x = 161,784 × 161,784
  4. Step 4: Simplify right side
    121,899x = 26,174,062,656
  5. Step 5: Solve for x
    x = 26,174,062,656/121,899
  6. Step 6: Final answer
    x = 214,719.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.