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Finding the Third Proportional to 787,704 and 1,728,579

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Solution

The third proportional to 787,704 and 1,728,579 is: 3,793,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,704 : 1,728,579 = 1,728,579 : x
  2. Step 2: Convert to fraction form
    787,704/1,728,579 = 1,728,579/x
  3. Step 3: Cross multiply
    787,704x = 1,728,579 × 1,728,579
  4. Step 4: Simplify right side
    787,704x = 2,987,985,359,241
  5. Step 5: Solve for x
    x = 2,987,985,359,241/787,704
  6. Step 6: Final answer
    x = 3,793,284.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.