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Finding the Third Proportional to 10,625.34 and 15,643.97

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Solution

The third proportional to 10,625.34 and 15,643.97 is: 23,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.34 : 15,643.97 = 15,643.97 : x
  2. Step 2: Convert to fraction form
    10,625.34/15,643.97 = 15,643.97/x
  3. Step 3: Cross multiply
    10,625.34x = 15,643.97 × 15,643.97
  4. Step 4: Simplify right side
    10,625.34x = 244,733,758.25
  5. Step 5: Solve for x
    x = 244,733,758.25/10,625.34
  6. Step 6: Final answer
    x = 23,033.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.