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Finding the Third Proportional to 518,930 and 778,395

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Solution

The third proportional to 518,930 and 778,395 is: 1,167,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,930 : 778,395 = 778,395 : x
  2. Step 2: Convert to fraction form
    518,930/778,395 = 778,395/x
  3. Step 3: Cross multiply
    518,930x = 778,395 × 778,395
  4. Step 4: Simplify right side
    518,930x = 605,898,776,025
  5. Step 5: Solve for x
    x = 605,898,776,025/518,930
  6. Step 6: Final answer
    x = 1,167,592.50

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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.