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Finding the Third Proportional to 10,578.38 and 25,062.19

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Solution

The third proportional to 10,578.38 and 25,062.19 is: 59,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.38 : 25,062.19 = 25,062.19 : x
  2. Step 2: Convert to fraction form
    10,578.38/25,062.19 = 25,062.19/x
  3. Step 3: Cross multiply
    10,578.38x = 25,062.19 × 25,062.19
  4. Step 4: Simplify right side
    10,578.38x = 628,113,242.29
  5. Step 5: Solve for x
    x = 628,113,242.29/10,578.38
  6. Step 6: Final answer
    x = 59,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.