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Finding the Third Proportional to 407.44 and 872.72

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Solution

The third proportional to 407.44 and 872.72 is: 1,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.44 : 872.72 = 872.72 : x
  2. Step 2: Convert to fraction form
    407.44/872.72 = 872.72/x
  3. Step 3: Cross multiply
    407.44x = 872.72 × 872.72
  4. Step 4: Simplify right side
    407.44x = 761,638.02
  5. Step 5: Solve for x
    x = 761,638.02/407.44
  6. Step 6: Final answer
    x = 1,869.34

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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.