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Finding the Third Proportional to 140,023.69 and 209,121.75

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Solution

The third proportional to 140,023.69 and 209,121.75 is: 312,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,023.69 : 209,121.75 = 209,121.75 : x
  2. Step 2: Convert to fraction form
    140,023.69/209,121.75 = 209,121.75/x
  3. Step 3: Cross multiply
    140,023.69x = 209,121.75 × 209,121.75
  4. Step 4: Simplify right side
    140,023.69x = 43,731,906,323.06
  5. Step 5: Solve for x
    x = 43,731,906,323.06/140,023.69
  6. Step 6: Final answer
    x = 312,317.92

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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.