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Finding the Third Proportional to 311,972 and 479,226

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Solution

The third proportional to 311,972 and 479,226 is: 736,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,972 : 479,226 = 479,226 : x
  2. Step 2: Convert to fraction form
    311,972/479,226 = 479,226/x
  3. Step 3: Cross multiply
    311,972x = 479,226 × 479,226
  4. Step 4: Simplify right side
    311,972x = 229,657,559,076
  5. Step 5: Solve for x
    x = 229,657,559,076/311,972
  6. Step 6: Final answer
    x = 736,147.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.