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Finding the Third Proportional to 78,842 and 121,189

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Solution

The third proportional to 78,842 and 121,189 is: 186,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,842 : 121,189 = 121,189 : x
  2. Step 2: Convert to fraction form
    78,842/121,189 = 121,189/x
  3. Step 3: Cross multiply
    78,842x = 121,189 × 121,189
  4. Step 4: Simplify right side
    78,842x = 14,686,773,721
  5. Step 5: Solve for x
    x = 14,686,773,721/78,842
  6. Step 6: Final answer
    x = 186,281.09

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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.