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Finding the Third Proportional to 74,067.75 and 159,985.13

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Solution

The third proportional to 74,067.75 and 159,985.13 is: 345,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067.75 : 159,985.13 = 159,985.13 : x
  2. Step 2: Convert to fraction form
    74,067.75/159,985.13 = 159,985.13/x
  3. Step 3: Cross multiply
    74,067.75x = 159,985.13 × 159,985.13
  4. Step 4: Simplify right side
    74,067.75x = 25,595,240,221.27
  5. Step 5: Solve for x
    x = 25,595,240,221.27/74,067.75
  6. Step 6: Final answer
    x = 345,565.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.