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Finding the Third Proportional to 326,006 and 687,410

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Solution

The third proportional to 326,006 and 687,410 is: 1,449,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,006 : 687,410 = 687,410 : x
  2. Step 2: Convert to fraction form
    326,006/687,410 = 687,410/x
  3. Step 3: Cross multiply
    326,006x = 687,410 × 687,410
  4. Step 4: Simplify right side
    326,006x = 472,532,508,100
  5. Step 5: Solve for x
    x = 472,532,508,100/326,006
  6. Step 6: Final answer
    x = 1,449,459.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.