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Finding the Third Proportional to 200.18 and 432.42

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Solution

The third proportional to 200.18 and 432.42 is: 934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.18 : 432.42 = 432.42 : x
  2. Step 2: Convert to fraction form
    200.18/432.42 = 432.42/x
  3. Step 3: Cross multiply
    200.18x = 432.42 × 432.42
  4. Step 4: Simplify right side
    200.18x = 186,988.68
  5. Step 5: Solve for x
    x = 186,988.68/200.18
  6. Step 6: Final answer
    x = 934.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.