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Finding the Third Proportional to 326,478 and 462,380

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Solution

The third proportional to 326,478 and 462,380 is: 654,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,478 : 462,380 = 462,380 : x
  2. Step 2: Convert to fraction form
    326,478/462,380 = 462,380/x
  3. Step 3: Cross multiply
    326,478x = 462,380 × 462,380
  4. Step 4: Simplify right side
    326,478x = 213,795,264,400
  5. Step 5: Solve for x
    x = 213,795,264,400/326,478
  6. Step 6: Final answer
    x = 654,853.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.