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Finding the Third Proportional to 520,568 and 787,413

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Solution

The third proportional to 520,568 and 787,413 is: 1,191,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,568 : 787,413 = 787,413 : x
  2. Step 2: Convert to fraction form
    520,568/787,413 = 787,413/x
  3. Step 3: Cross multiply
    520,568x = 787,413 × 787,413
  4. Step 4: Simplify right side
    520,568x = 620,019,232,569
  5. Step 5: Solve for x
    x = 620,019,232,569/520,568
  6. Step 6: Final answer
    x = 1,191,043.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.