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Finding the Third Proportional to 311,970 and 479,223

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Solution

The third proportional to 311,970 and 479,223 is: 736,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,970 : 479,223 = 479,223 : x
  2. Step 2: Convert to fraction form
    311,970/479,223 = 479,223/x
  3. Step 3: Cross multiply
    311,970x = 479,223 × 479,223
  4. Step 4: Simplify right side
    311,970x = 229,654,683,729
  5. Step 5: Solve for x
    x = 229,654,683,729/311,970
  6. Step 6: Final answer
    x = 736,143.49

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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.