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Finding the Third Proportional to 201,284 and 318,329

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Solution

The third proportional to 201,284 and 318,329 is: 503,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284 : 318,329 = 318,329 : x
  2. Step 2: Convert to fraction form
    201,284/318,329 = 318,329/x
  3. Step 3: Cross multiply
    201,284x = 318,329 × 318,329
  4. Step 4: Simplify right side
    201,284x = 101,333,352,241
  5. Step 5: Solve for x
    x = 101,333,352,241/201,284
  6. Step 6: Final answer
    x = 503,434.71

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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.