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Finding the Third Proportional to 518,928 and 778,392

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Solution

The third proportional to 518,928 and 778,392 is: 1,167,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,928 : 778,392 = 778,392 : x
  2. Step 2: Convert to fraction form
    518,928/778,392 = 778,392/x
  3. Step 3: Cross multiply
    518,928x = 778,392 × 778,392
  4. Step 4: Simplify right side
    518,928x = 605,894,105,664
  5. Step 5: Solve for x
    x = 605,894,105,664/518,928
  6. Step 6: Final answer
    x = 1,167,588

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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.