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Finding the Third Proportional to 145,367 and 321,822

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Solution

The third proportional to 145,367 and 321,822 is: 712,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,367 : 321,822 = 321,822 : x
  2. Step 2: Convert to fraction form
    145,367/321,822 = 321,822/x
  3. Step 3: Cross multiply
    145,367x = 321,822 × 321,822
  4. Step 4: Simplify right side
    145,367x = 103,569,399,684
  5. Step 5: Solve for x
    x = 103,569,399,684/145,367
  6. Step 6: Final answer
    x = 712,468.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.