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Finding the Third Proportional to 3,903.19 and 5,642.16

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Solution

The third proportional to 3,903.19 and 5,642.16 is: 8,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.19 : 5,642.16 = 5,642.16 : x
  2. Step 2: Convert to fraction form
    3,903.19/5,642.16 = 5,642.16/x
  3. Step 3: Cross multiply
    3,903.19x = 5,642.16 × 5,642.16
  4. Step 4: Simplify right side
    3,903.19x = 31,833,927.15
  5. Step 5: Solve for x
    x = 31,833,927.15/3,903.19
  6. Step 6: Final answer
    x = 8,155.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.