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Finding the Third Proportional to 216,511 and 311,875

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Solution

The third proportional to 216,511 and 311,875 is: 449,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,511 : 311,875 = 311,875 : x
  2. Step 2: Convert to fraction form
    216,511/311,875 = 311,875/x
  3. Step 3: Cross multiply
    216,511x = 311,875 × 311,875
  4. Step 4: Simplify right side
    216,511x = 97,266,015,625
  5. Step 5: Solve for x
    x = 97,266,015,625/216,511
  6. Step 6: Final answer
    x = 449,242.84

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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.