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Finding the Third Proportional to 518,560 and 778,328

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Solution

The third proportional to 518,560 and 778,328 is: 1,168,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,560 : 778,328 = 778,328 : x
  2. Step 2: Convert to fraction form
    518,560/778,328 = 778,328/x
  3. Step 3: Cross multiply
    518,560x = 778,328 × 778,328
  4. Step 4: Simplify right side
    518,560x = 605,794,475,584
  5. Step 5: Solve for x
    x = 605,794,475,584/518,560
  6. Step 6: Final answer
    x = 1,168,224.46

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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.