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Finding the Third Proportional to 218,448 and 293,364

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Solution

The third proportional to 218,448 and 293,364 is: 393,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,448 : 293,364 = 293,364 : x
  2. Step 2: Convert to fraction form
    218,448/293,364 = 293,364/x
  3. Step 3: Cross multiply
    218,448x = 293,364 × 293,364
  4. Step 4: Simplify right side
    218,448x = 86,062,436,496
  5. Step 5: Solve for x
    x = 86,062,436,496/218,448
  6. Step 6: Final answer
    x = 393,972.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.