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Finding the Third Proportional to 253,518 and 551,154

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Solution

The third proportional to 253,518 and 551,154 is: 1,198,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,518 : 551,154 = 551,154 : x
  2. Step 2: Convert to fraction form
    253,518/551,154 = 551,154/x
  3. Step 3: Cross multiply
    253,518x = 551,154 × 551,154
  4. Step 4: Simplify right side
    253,518x = 303,770,731,716
  5. Step 5: Solve for x
    x = 303,770,731,716/253,518
  6. Step 6: Final answer
    x = 1,198,221.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.