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Finding the Third Proportional to 201,931 and 311,320

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Solution

The third proportional to 201,931 and 311,320 is: 479,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,931 : 311,320 = 311,320 : x
  2. Step 2: Convert to fraction form
    201,931/311,320 = 311,320/x
  3. Step 3: Cross multiply
    201,931x = 311,320 × 311,320
  4. Step 4: Simplify right side
    201,931x = 96,920,142,400
  5. Step 5: Solve for x
    x = 96,920,142,400/201,931
  6. Step 6: Final answer
    x = 479,966.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.