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Finding the Third Proportional to 211,472 and 303,960

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Solution

The third proportional to 211,472 and 303,960 is: 436,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472 : 303,960 = 303,960 : x
  2. Step 2: Convert to fraction form
    211,472/303,960 = 303,960/x
  3. Step 3: Cross multiply
    211,472x = 303,960 × 303,960
  4. Step 4: Simplify right side
    211,472x = 92,391,681,600
  5. Step 5: Solve for x
    x = 92,391,681,600/211,472
  6. Step 6: Final answer
    x = 436,897.94

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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.