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Finding the Third Proportional to 407.32 and 887.39

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Solution

The third proportional to 407.32 and 887.39 is: 1,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 887.39 = 887.39 : x
  2. Step 2: Convert to fraction form
    407.32/887.39 = 887.39/x
  3. Step 3: Cross multiply
    407.32x = 887.39 × 887.39
  4. Step 4: Simplify right side
    407.32x = 787,462.12
  5. Step 5: Solve for x
    x = 787,462.12/407.32
  6. Step 6: Final answer
    x = 1,933.27

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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.