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Finding the Third Proportional to 201,782 and 316,569

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Solution

The third proportional to 201,782 and 316,569 is: 496,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782 : 316,569 = 316,569 : x
  2. Step 2: Convert to fraction form
    201,782/316,569 = 316,569/x
  3. Step 3: Cross multiply
    201,782x = 316,569 × 316,569
  4. Step 4: Simplify right side
    201,782x = 100,215,931,761
  5. Step 5: Solve for x
    x = 100,215,931,761/201,782
  6. Step 6: Final answer
    x = 496,654.47

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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.