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Finding the Third Proportional to 207,000 and 320,643

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Solution

The third proportional to 207,000 and 320,643 is: 496,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,000 : 320,643 = 320,643 : x
  2. Step 2: Convert to fraction form
    207,000/320,643 = 320,643/x
  3. Step 3: Cross multiply
    207,000x = 320,643 × 320,643
  4. Step 4: Simplify right side
    207,000x = 102,811,933,449
  5. Step 5: Solve for x
    x = 102,811,933,449/207,000
  6. Step 6: Final answer
    x = 496,676.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.