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Finding the Third Proportional to 311,930 and 446,076

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Solution

The third proportional to 311,930 and 446,076 is: 637,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930 : 446,076 = 446,076 : x
  2. Step 2: Convert to fraction form
    311,930/446,076 = 446,076/x
  3. Step 3: Cross multiply
    311,930x = 446,076 × 446,076
  4. Step 4: Simplify right side
    311,930x = 198,983,797,776
  5. Step 5: Solve for x
    x = 198,983,797,776/311,930
  6. Step 6: Final answer
    x = 637,911.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.