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Finding the Third Proportional to 202.31 and 317.06

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Solution

The third proportional to 202.31 and 317.06 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 317.06 = 317.06 : x
  2. Step 2: Convert to fraction form
    202.31/317.06 = 317.06/x
  3. Step 3: Cross multiply
    202.31x = 317.06 × 317.06
  4. Step 4: Simplify right side
    202.31x = 100,528.63
  5. Step 5: Solve for x
    x = 100,528.63/202.31
  6. Step 6: Final answer
    x = 496.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.