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Finding the Third Proportional to 358,716.52 and 787,408.17

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Solution

The third proportional to 358,716.52 and 787,408.17 is: 1,728,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,716.52 : 787,408.17 = 787,408.17 : x
  2. Step 2: Convert to fraction form
    358,716.52/787,408.17 = 787,408.17/x
  3. Step 3: Cross multiply
    358,716.52x = 787,408.17 × 787,408.17
  4. Step 4: Simplify right side
    358,716.52x = 620,011,629,135.53
  5. Step 5: Solve for x
    x = 620,011,629,135.53/358,716.52
  6. Step 6: Final answer
    x = 1,728,416.74

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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.