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Finding the Third Proportional to 518,562 and 778,331

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Solution

The third proportional to 518,562 and 778,331 is: 1,168,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,562 : 778,331 = 778,331 : x
  2. Step 2: Convert to fraction form
    518,562/778,331 = 778,331/x
  3. Step 3: Cross multiply
    518,562x = 778,331 × 778,331
  4. Step 4: Simplify right side
    518,562x = 605,799,145,561
  5. Step 5: Solve for x
    x = 605,799,145,561/518,562
  6. Step 6: Final answer
    x = 1,168,228.96

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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.