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Finding the Third Proportional to 15,135.19 and 22,948.31

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Solution

The third proportional to 15,135.19 and 22,948.31 is: 34,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.19 : 22,948.31 = 22,948.31 : x
  2. Step 2: Convert to fraction form
    15,135.19/22,948.31 = 22,948.31/x
  3. Step 3: Cross multiply
    15,135.19x = 22,948.31 × 22,948.31
  4. Step 4: Simplify right side
    15,135.19x = 526,625,046.60
  5. Step 5: Solve for x
    x = 526,625,046.60/15,135.19
  6. Step 6: Final answer
    x = 34,794.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.