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Finding the Third Proportional to 518,932 and 778,398

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Solution

The third proportional to 518,932 and 778,398 is: 1,167,597

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,932 : 778,398 = 778,398 : x
  2. Step 2: Convert to fraction form
    518,932/778,398 = 778,398/x
  3. Step 3: Cross multiply
    518,932x = 778,398 × 778,398
  4. Step 4: Simplify right side
    518,932x = 605,903,446,404
  5. Step 5: Solve for x
    x = 605,903,446,404/518,932
  6. Step 6: Final answer
    x = 1,167,597

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.