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Finding the Third Proportional to 202,207 and 317,175

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Solution

The third proportional to 202,207 and 317,175 is: 497,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207 : 317,175 = 317,175 : x
  2. Step 2: Convert to fraction form
    202,207/317,175 = 317,175/x
  3. Step 3: Cross multiply
    202,207x = 317,175 × 317,175
  4. Step 4: Simplify right side
    202,207x = 100,599,980,625
  5. Step 5: Solve for x
    x = 100,599,980,625/202,207
  6. Step 6: Final answer
    x = 497,509.88

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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.