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Finding the Third Proportional to 1,354.78 and 2,652.19

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Solution

The third proportional to 1,354.78 and 2,652.19 is: 5,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.78 : 2,652.19 = 2,652.19 : x
  2. Step 2: Convert to fraction form
    1,354.78/2,652.19 = 2,652.19/x
  3. Step 3: Cross multiply
    1,354.78x = 2,652.19 × 2,652.19
  4. Step 4: Simplify right side
    1,354.78x = 7,034,098.54
  5. Step 5: Solve for x
    x = 7,034,098.54/1,354.78
  6. Step 6: Final answer
    x = 5,192.05

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.