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Finding the Third Proportional to 8,872.88 and 14,200.31

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Solution

The third proportional to 8,872.88 and 14,200.31 is: 22,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.88 : 14,200.31 = 14,200.31 : x
  2. Step 2: Convert to fraction form
    8,872.88/14,200.31 = 14,200.31/x
  3. Step 3: Cross multiply
    8,872.88x = 14,200.31 × 14,200.31
  4. Step 4: Simplify right side
    8,872.88x = 201,648,875.10
  5. Step 5: Solve for x
    x = 201,648,875.10/8,872.88
  6. Step 6: Final answer
    x = 22,726.44

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.