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Finding the Third Proportional to 218,498 and 333,579

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Solution

The third proportional to 218,498 and 333,579 is: 509,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,498 : 333,579 = 333,579 : x
  2. Step 2: Convert to fraction form
    218,498/333,579 = 333,579/x
  3. Step 3: Cross multiply
    218,498x = 333,579 × 333,579
  4. Step 4: Simplify right side
    218,498x = 111,274,949,241
  5. Step 5: Solve for x
    x = 111,274,949,241/218,498
  6. Step 6: Final answer
    x = 509,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.