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Finding the Third Proportional to 202.19 and 312.88

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Solution

The third proportional to 202.19 and 312.88 is: 484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 312.88 = 312.88 : x
  2. Step 2: Convert to fraction form
    202.19/312.88 = 312.88/x
  3. Step 3: Cross multiply
    202.19x = 312.88 × 312.88
  4. Step 4: Simplify right side
    202.19x = 97,890.77
  5. Step 5: Solve for x
    x = 97,890.77/202.19
  6. Step 6: Final answer
    x = 484.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.