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Finding the Third Proportional to 10,261.69 and 15,403.29

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Solution

The third proportional to 10,261.69 and 15,403.29 is: 23,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.69 : 15,403.29 = 15,403.29 : x
  2. Step 2: Convert to fraction form
    10,261.69/15,403.29 = 15,403.29/x
  3. Step 3: Cross multiply
    10,261.69x = 15,403.29 × 15,403.29
  4. Step 4: Simplify right side
    10,261.69x = 237,261,313.94
  5. Step 5: Solve for x
    x = 237,261,313.94/10,261.69
  6. Step 6: Final answer
    x = 23,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.