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Finding the Third Proportional to 1,871.86 and 4,451.20

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Solution

The third proportional to 1,871.86 and 4,451.20 is: 10,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.86 : 4,451.20 = 4,451.20 : x
  2. Step 2: Convert to fraction form
    1,871.86/4,451.20 = 4,451.20/x
  3. Step 3: Cross multiply
    1,871.86x = 4,451.20 × 4,451.20
  4. Step 4: Simplify right side
    1,871.86x = 19,813,209.26
  5. Step 5: Solve for x
    x = 19,813,209.26/1,871.86
  6. Step 6: Final answer
    x = 10,584.77

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.