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Finding the Third Proportional to 518,564 and 778,334

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Solution

The third proportional to 518,564 and 778,334 is: 1,168,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,564 : 778,334 = 778,334 : x
  2. Step 2: Convert to fraction form
    518,564/778,334 = 778,334/x
  3. Step 3: Cross multiply
    518,564x = 778,334 × 778,334
  4. Step 4: Simplify right side
    518,564x = 605,803,815,556
  5. Step 5: Solve for x
    x = 605,803,815,556/518,564
  6. Step 6: Final answer
    x = 1,168,233.46

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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.