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Finding the Third Proportional to 216,524 and 311,893

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Solution

The third proportional to 216,524 and 311,893 is: 449,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,524 : 311,893 = 311,893 : x
  2. Step 2: Convert to fraction form
    216,524/311,893 = 311,893/x
  3. Step 3: Cross multiply
    216,524x = 311,893 × 311,893
  4. Step 4: Simplify right side
    216,524x = 97,277,243,449
  5. Step 5: Solve for x
    x = 97,277,243,449/216,524
  6. Step 6: Final answer
    x = 449,267.72

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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.