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Finding the Third Proportional to 120,345 and 243,612

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Solution

The third proportional to 120,345 and 243,612 is: 493,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,345 : 243,612 = 243,612 : x
  2. Step 2: Convert to fraction form
    120,345/243,612 = 243,612/x
  3. Step 3: Cross multiply
    120,345x = 243,612 × 243,612
  4. Step 4: Simplify right side
    120,345x = 59,346,806,544
  5. Step 5: Solve for x
    x = 59,346,806,544/120,345
  6. Step 6: Final answer
    x = 493,138.95

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.