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Finding the Third Proportional to 345,960 and 518,940

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Solution

The third proportional to 345,960 and 518,940 is: 778,410

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,960 : 518,940 = 518,940 : x
  2. Step 2: Convert to fraction form
    345,960/518,940 = 518,940/x
  3. Step 3: Cross multiply
    345,960x = 518,940 × 518,940
  4. Step 4: Simplify right side
    345,960x = 269,298,723,600
  5. Step 5: Solve for x
    x = 269,298,723,600/345,960
  6. Step 6: Final answer
    x = 778,410

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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.