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Finding the Third Proportional to 216,515 and 311,882

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Solution

The third proportional to 216,515 and 311,882 is: 449,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,515 : 311,882 = 311,882 : x
  2. Step 2: Convert to fraction form
    216,515/311,882 = 311,882/x
  3. Step 3: Cross multiply
    216,515x = 311,882 × 311,882
  4. Step 4: Simplify right side
    216,515x = 97,270,381,924
  5. Step 5: Solve for x
    x = 97,270,381,924/216,515
  6. Step 6: Final answer
    x = 449,254.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.