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Finding the Third Proportional to 201,228 and 318,372

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Solution

The third proportional to 201,228 and 318,372 is: 503,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228 : 318,372 = 318,372 : x
  2. Step 2: Convert to fraction form
    201,228/318,372 = 318,372/x
  3. Step 3: Cross multiply
    201,228x = 318,372 × 318,372
  4. Step 4: Simplify right side
    201,228x = 101,360,730,384
  5. Step 5: Solve for x
    x = 101,360,730,384/201,228
  6. Step 6: Final answer
    x = 503,710.87

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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.