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Finding the Third Proportional to 311,332 and 474,774

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Solution

The third proportional to 311,332 and 474,774 is: 724,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,332 : 474,774 = 474,774 : x
  2. Step 2: Convert to fraction form
    311,332/474,774 = 474,774/x
  3. Step 3: Cross multiply
    311,332x = 474,774 × 474,774
  4. Step 4: Simplify right side
    311,332x = 225,410,351,076
  5. Step 5: Solve for x
    x = 225,410,351,076/311,332
  6. Step 6: Final answer
    x = 724,019.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.