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Finding the Third Proportional to 311,132 and 643,000

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Solution

The third proportional to 311,132 and 643,000 is: 1,328,853.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,132 : 643,000 = 643,000 : x
  2. Step 2: Convert to fraction form
    311,132/643,000 = 643,000/x
  3. Step 3: Cross multiply
    311,132x = 643,000 × 643,000
  4. Step 4: Simplify right side
    311,132x = 413,449,000,000
  5. Step 5: Solve for x
    x = 413,449,000,000/311,132
  6. Step 6: Final answer
    x = 1,328,853.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.