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Finding the Third Proportional to 598,498 and 839,812

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Solution

The third proportional to 598,498 and 839,812 is: 1,178,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,498 : 839,812 = 839,812 : x
  2. Step 2: Convert to fraction form
    598,498/839,812 = 839,812/x
  3. Step 3: Cross multiply
    598,498x = 839,812 × 839,812
  4. Step 4: Simplify right side
    598,498x = 705,284,195,344
  5. Step 5: Solve for x
    x = 705,284,195,344/598,498
  6. Step 6: Final answer
    x = 1,178,423.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.