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Finding the Third Proportional to 121,667.06 and 181,491.47

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Solution

The third proportional to 121,667.06 and 181,491.47 is: 270,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,667.06 : 181,491.47 = 181,491.47 : x
  2. Step 2: Convert to fraction form
    121,667.06/181,491.47 = 181,491.47/x
  3. Step 3: Cross multiply
    121,667.06x = 181,491.47 × 181,491.47
  4. Step 4: Simplify right side
    121,667.06x = 32,939,153,229.03
  5. Step 5: Solve for x
    x = 32,939,153,229.03/121,667.06
  6. Step 6: Final answer
    x = 270,731.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.