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Finding the Third Proportional to 881.61 and 1,884.72

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Solution

The third proportional to 881.61 and 1,884.72 is: 4,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.61 : 1,884.72 = 1,884.72 : x
  2. Step 2: Convert to fraction form
    881.61/1,884.72 = 1,884.72/x
  3. Step 3: Cross multiply
    881.61x = 1,884.72 × 1,884.72
  4. Step 4: Simplify right side
    881.61x = 3,552,164.77
  5. Step 5: Solve for x
    x = 3,552,164.77/881.61
  6. Step 6: Final answer
    x = 4,029.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.