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Finding the Third Proportional to 407,600 and 864,529

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Solution

The third proportional to 407,600 and 864,529 is: 1,833,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,600 : 864,529 = 864,529 : x
  2. Step 2: Convert to fraction form
    407,600/864,529 = 864,529/x
  3. Step 3: Cross multiply
    407,600x = 864,529 × 864,529
  4. Step 4: Simplify right side
    407,600x = 747,410,391,841
  5. Step 5: Solve for x
    x = 747,410,391,841/407,600
  6. Step 6: Final answer
    x = 1,833,685.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.