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Finding the Third Proportional to 121,581.75 and 181,886.63

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Solution

The third proportional to 121,581.75 and 181,886.63 is: 272,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,581.75 : 181,886.63 = 181,886.63 : x
  2. Step 2: Convert to fraction form
    121,581.75/181,886.63 = 181,886.63/x
  3. Step 3: Cross multiply
    121,581.75x = 181,886.63 × 181,886.63
  4. Step 4: Simplify right side
    121,581.75x = 33,082,744,353.89
  5. Step 5: Solve for x
    x = 33,082,744,353.89/121,581.75
  6. Step 6: Final answer
    x = 272,102.88

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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.