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Finding the Third Proportional to 200.11 and 465.40

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Solution

The third proportional to 200.11 and 465.40 is: 1,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.11 : 465.40 = 465.40 : x
  2. Step 2: Convert to fraction form
    200.11/465.40 = 465.40/x
  3. Step 3: Cross multiply
    200.11x = 465.40 × 465.40
  4. Step 4: Simplify right side
    200.11x = 216,595.71
  5. Step 5: Solve for x
    x = 216,595.71/200.11
  6. Step 6: Final answer
    x = 1,082.39

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.