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Finding the Third Proportional to 318,049 and 680,222

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Solution

The third proportional to 318,049 and 680,222 is: 1,454,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,049 : 680,222 = 680,222 : x
  2. Step 2: Convert to fraction form
    318,049/680,222 = 680,222/x
  3. Step 3: Cross multiply
    318,049x = 680,222 × 680,222
  4. Step 4: Simplify right side
    318,049x = 462,701,969,284
  5. Step 5: Solve for x
    x = 462,701,969,284/318,049
  6. Step 6: Final answer
    x = 1,454,813.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.