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Finding the Third Proportional to 206,953.50 and 317,265

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Solution

The third proportional to 206,953.50 and 317,265 is: 486,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.50 : 317,265 = 317,265 : x
  2. Step 2: Convert to fraction form
    206,953.50/317,265 = 317,265/x
  3. Step 3: Cross multiply
    206,953.50x = 317,265 × 317,265
  4. Step 4: Simplify right side
    206,953.50x = 100,657,080,225
  5. Step 5: Solve for x
    x = 100,657,080,225/206,953.50
  6. Step 6: Final answer
    x = 486,375.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.