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Finding the Third Proportional to 131,371.50 and 288,987

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Solution

The third proportional to 131,371.50 and 288,987 is: 635,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,371.50 : 288,987 = 288,987 : x
  2. Step 2: Convert to fraction form
    131,371.50/288,987 = 288,987/x
  3. Step 3: Cross multiply
    131,371.50x = 288,987 × 288,987
  4. Step 4: Simplify right side
    131,371.50x = 83,513,486,169
  5. Step 5: Solve for x
    x = 83,513,486,169/131,371.50
  6. Step 6: Final answer
    x = 635,704.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.