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Finding the Third Proportional to 203,616 and 311,472

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Solution

The third proportional to 203,616 and 311,472 is: 476,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 311,472 = 311,472 : x
  2. Step 2: Convert to fraction form
    203,616/311,472 = 311,472/x
  3. Step 3: Cross multiply
    203,616x = 311,472 × 311,472
  4. Step 4: Simplify right side
    203,616x = 97,014,806,784
  5. Step 5: Solve for x
    x = 97,014,806,784/203,616
  6. Step 6: Final answer
    x = 476,459.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.