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Finding the Third Proportional to 20,752.88 and 31,940.50

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Solution

The third proportional to 20,752.88 and 31,940.50 is: 49,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.88 : 31,940.50 = 31,940.50 : x
  2. Step 2: Convert to fraction form
    20,752.88/31,940.50 = 31,940.50/x
  3. Step 3: Cross multiply
    20,752.88x = 31,940.50 × 31,940.50
  4. Step 4: Simplify right side
    20,752.88x = 1,020,195,540.25
  5. Step 5: Solve for x
    x = 1,020,195,540.25/20,752.88
  6. Step 6: Final answer
    x = 49,159.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.