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Finding the Third Proportional to 326,163 and 459,309

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Solution

The third proportional to 326,163 and 459,309 is: 646,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,163 : 459,309 = 459,309 : x
  2. Step 2: Convert to fraction form
    326,163/459,309 = 459,309/x
  3. Step 3: Cross multiply
    326,163x = 459,309 × 459,309
  4. Step 4: Simplify right side
    326,163x = 210,964,757,481
  5. Step 5: Solve for x
    x = 210,964,757,481/326,163
  6. Step 6: Final answer
    x = 646,807.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.