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Finding the Third Proportional to 200.46 and 317.46

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Solution

The third proportional to 200.46 and 317.46 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 317.46 = 317.46 : x
  2. Step 2: Convert to fraction form
    200.46/317.46 = 317.46/x
  3. Step 3: Cross multiply
    200.46x = 317.46 × 317.46
  4. Step 4: Simplify right side
    200.46x = 100,781.45
  5. Step 5: Solve for x
    x = 100,781.45/200.46
  6. Step 6: Final answer
    x = 502.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.