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Finding the Third Proportional to 121,590.56 and 194,243.06

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Solution

The third proportional to 121,590.56 and 194,243.06 is: 310,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,590.56 : 194,243.06 = 194,243.06 : x
  2. Step 2: Convert to fraction form
    121,590.56/194,243.06 = 194,243.06/x
  3. Step 3: Cross multiply
    121,590.56x = 194,243.06 × 194,243.06
  4. Step 4: Simplify right side
    121,590.56x = 37,730,367,329.38
  5. Step 5: Solve for x
    x = 37,730,367,329.38/121,590.56
  6. Step 6: Final answer
    x = 310,306.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.