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Finding the Third Proportional to 326,210 and 459,367

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Solution

The third proportional to 326,210 and 459,367 is: 646,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,210 : 459,367 = 459,367 : x
  2. Step 2: Convert to fraction form
    326,210/459,367 = 459,367/x
  3. Step 3: Cross multiply
    326,210x = 459,367 × 459,367
  4. Step 4: Simplify right side
    326,210x = 211,018,040,689
  5. Step 5: Solve for x
    x = 211,018,040,689/326,210
  6. Step 6: Final answer
    x = 646,877.90

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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.