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Finding the Third Proportional to 11,509.88 and 25,215.75

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Solution

The third proportional to 11,509.88 and 25,215.75 is: 55,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.88 : 25,215.75 = 25,215.75 : x
  2. Step 2: Convert to fraction form
    11,509.88/25,215.75 = 25,215.75/x
  3. Step 3: Cross multiply
    11,509.88x = 25,215.75 × 25,215.75
  4. Step 4: Simplify right side
    11,509.88x = 635,834,048.06
  5. Step 5: Solve for x
    x = 635,834,048.06/11,509.88
  6. Step 6: Final answer
    x = 55,242.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.