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Finding the Third Proportional to 10,959 and 15,506.75

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Solution

The third proportional to 10,959 and 15,506.75 is: 21,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959 : 15,506.75 = 15,506.75 : x
  2. Step 2: Convert to fraction form
    10,959/15,506.75 = 15,506.75/x
  3. Step 3: Cross multiply
    10,959x = 15,506.75 × 15,506.75
  4. Step 4: Simplify right side
    10,959x = 240,459,295.56
  5. Step 5: Solve for x
    x = 240,459,295.56/10,959
  6. Step 6: Final answer
    x = 21,941.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.