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Finding the Third Proportional to 10,615.50 and 22,911.75

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Solution

The third proportional to 10,615.50 and 22,911.75 is: 49,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.50 : 22,911.75 = 22,911.75 : x
  2. Step 2: Convert to fraction form
    10,615.50/22,911.75 = 22,911.75/x
  3. Step 3: Cross multiply
    10,615.50x = 22,911.75 × 22,911.75
  4. Step 4: Simplify right side
    10,615.50x = 524,948,288.06
  5. Step 5: Solve for x
    x = 524,948,288.06/10,615.50
  6. Step 6: Final answer
    x = 49,451.11

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1.5x scale

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.