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Finding the Third Proportional to 346,522 and 518,372

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Solution

The third proportional to 346,522 and 518,372 is: 775,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,522 : 518,372 = 518,372 : x
  2. Step 2: Convert to fraction form
    346,522/518,372 = 518,372/x
  3. Step 3: Cross multiply
    346,522x = 518,372 × 518,372
  4. Step 4: Simplify right side
    346,522x = 268,709,530,384
  5. Step 5: Solve for x
    x = 268,709,530,384/346,522
  6. Step 6: Final answer
    x = 775,447.25

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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.