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Finding the Third Proportional to 872.16 and 1,898.44

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Solution

The third proportional to 872.16 and 1,898.44 is: 4,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.16 : 1,898.44 = 1,898.44 : x
  2. Step 2: Convert to fraction form
    872.16/1,898.44 = 1,898.44/x
  3. Step 3: Cross multiply
    872.16x = 1,898.44 × 1,898.44
  4. Step 4: Simplify right side
    872.16x = 3,604,064.94
  5. Step 5: Solve for x
    x = 3,604,064.94/872.16
  6. Step 6: Final answer
    x = 4,132.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.