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Finding the Third Proportional to 2,325.38 and 5,045.63

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Solution

The third proportional to 2,325.38 and 5,045.63 is: 10,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.38 : 5,045.63 = 5,045.63 : x
  2. Step 2: Convert to fraction form
    2,325.38/5,045.63 = 5,045.63/x
  3. Step 3: Cross multiply
    2,325.38x = 5,045.63 × 5,045.63
  4. Step 4: Simplify right side
    2,325.38x = 25,458,331.64
  5. Step 5: Solve for x
    x = 25,458,331.64/2,325.38
  6. Step 6: Final answer
    x = 10,948.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.