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Finding the Third Proportional to 338,498 and 729,894

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Solution

The third proportional to 338,498 and 729,894 is: 1,573,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,498 : 729,894 = 729,894 : x
  2. Step 2: Convert to fraction form
    338,498/729,894 = 729,894/x
  3. Step 3: Cross multiply
    338,498x = 729,894 × 729,894
  4. Step 4: Simplify right side
    338,498x = 532,745,251,236
  5. Step 5: Solve for x
    x = 532,745,251,236/338,498
  6. Step 6: Final answer
    x = 1,573,850.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.