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Finding the Third Proportional to 3,154.25 and 4,740.40

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Solution

The third proportional to 3,154.25 and 4,740.40 is: 7,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.25 : 4,740.40 = 4,740.40 : x
  2. Step 2: Convert to fraction form
    3,154.25/4,740.40 = 4,740.40/x
  3. Step 3: Cross multiply
    3,154.25x = 4,740.40 × 4,740.40
  4. Step 4: Simplify right side
    3,154.25x = 22,471,377.35
  5. Step 5: Solve for x
    x = 22,471,377.35/3,154.25
  6. Step 6: Final answer
    x = 7,124.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.