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Finding the Third Proportional to 345,694 and 518,549

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Solution

The third proportional to 345,694 and 518,549 is: 777,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,694 : 518,549 = 518,549 : x
  2. Step 2: Convert to fraction form
    345,694/518,549 = 518,549/x
  3. Step 3: Cross multiply
    345,694x = 518,549 × 518,549
  4. Step 4: Simplify right side
    345,694x = 268,893,065,401
  5. Step 5: Solve for x
    x = 268,893,065,401/345,694
  6. Step 6: Final answer
    x = 777,835.50

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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.