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Finding the Third Proportional to 200.88 and 314.13

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Solution

The third proportional to 200.88 and 314.13 is: 491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 314.13 = 314.13 : x
  2. Step 2: Convert to fraction form
    200.88/314.13 = 314.13/x
  3. Step 3: Cross multiply
    200.88x = 314.13 × 314.13
  4. Step 4: Simplify right side
    200.88x = 98,674.52
  5. Step 5: Solve for x
    x = 98,674.52/200.88
  6. Step 6: Final answer
    x = 491.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.