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Finding the Third Proportional to 346,483 and 518,311

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Solution

The third proportional to 346,483 and 518,311 is: 775,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,483 : 518,311 = 518,311 : x
  2. Step 2: Convert to fraction form
    346,483/518,311 = 518,311/x
  3. Step 3: Cross multiply
    346,483x = 518,311 × 518,311
  4. Step 4: Simplify right side
    346,483x = 268,646,292,721
  5. Step 5: Solve for x
    x = 268,646,292,721/346,483
  6. Step 6: Final answer
    x = 775,352.02

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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.