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Finding the Third Proportional to 358,722 and 787,419

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Solution

The third proportional to 358,722 and 787,419 is: 1,728,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,722 : 787,419 = 787,419 : x
  2. Step 2: Convert to fraction form
    358,722/787,419 = 787,419/x
  3. Step 3: Cross multiply
    358,722x = 787,419 × 787,419
  4. Step 4: Simplify right side
    358,722x = 620,028,681,561
  5. Step 5: Solve for x
    x = 620,028,681,561/358,722
  6. Step 6: Final answer
    x = 1,728,437.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.