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Finding the Third Proportional to 10,707 and 15,218.25

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Solution

The third proportional to 10,707 and 15,218.25 is: 21,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707 : 15,218.25 = 15,218.25 : x
  2. Step 2: Convert to fraction form
    10,707/15,218.25 = 15,218.25/x
  3. Step 3: Cross multiply
    10,707x = 15,218.25 × 15,218.25
  4. Step 4: Simplify right side
    10,707x = 231,595,133.06
  5. Step 5: Solve for x
    x = 231,595,133.06/10,707
  6. Step 6: Final answer
    x = 21,630.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.