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Finding the Third Proportional to 3,719.40 and 4,565.15

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Solution

The third proportional to 3,719.40 and 4,565.15 is: 5,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.40 : 4,565.15 = 4,565.15 : x
  2. Step 2: Convert to fraction form
    3,719.40/4,565.15 = 4,565.15/x
  3. Step 3: Cross multiply
    3,719.40x = 4,565.15 × 4,565.15
  4. Step 4: Simplify right side
    3,719.40x = 20,840,584.71
  5. Step 5: Solve for x
    x = 20,840,584.71/3,719.40
  6. Step 6: Final answer
    x = 5,603.22

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.