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Finding the Third Proportional to 145,396 and 218,822

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Solution

The third proportional to 145,396 and 218,822 is: 329,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,396 : 218,822 = 218,822 : x
  2. Step 2: Convert to fraction form
    145,396/218,822 = 218,822/x
  3. Step 3: Cross multiply
    145,396x = 218,822 × 218,822
  4. Step 4: Simplify right side
    145,396x = 47,883,067,684
  5. Step 5: Solve for x
    x = 47,883,067,684/145,396
  6. Step 6: Final answer
    x = 329,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.