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Finding the Third Proportional to 326,165 and 459,312

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Solution

The third proportional to 326,165 and 459,312 is: 646,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,165 : 459,312 = 459,312 : x
  2. Step 2: Convert to fraction form
    326,165/459,312 = 459,312/x
  3. Step 3: Cross multiply
    326,165x = 459,312 × 459,312
  4. Step 4: Simplify right side
    326,165x = 210,967,513,344
  5. Step 5: Solve for x
    x = 210,967,513,344/326,165
  6. Step 6: Final answer
    x = 646,812.24

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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.