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Finding the Third Proportional to 30,115.13 and 39,610.69

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Solution

The third proportional to 30,115.13 and 39,610.69 is: 52,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.13 : 39,610.69 = 39,610.69 : x
  2. Step 2: Convert to fraction form
    30,115.13/39,610.69 = 39,610.69/x
  3. Step 3: Cross multiply
    30,115.13x = 39,610.69 × 39,610.69
  4. Step 4: Simplify right side
    30,115.13x = 1,569,006,564.22
  5. Step 5: Solve for x
    x = 1,569,006,564.22/30,115.13
  6. Step 6: Final answer
    x = 52,100.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.