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Finding the Third Proportional to 361,154 and 551,350

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Solution

The third proportional to 361,154 and 551,350 is: 841,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,154 : 551,350 = 551,350 : x
  2. Step 2: Convert to fraction form
    361,154/551,350 = 551,350/x
  3. Step 3: Cross multiply
    361,154x = 551,350 × 551,350
  4. Step 4: Simplify right side
    361,154x = 303,986,822,500
  5. Step 5: Solve for x
    x = 303,986,822,500/361,154
  6. Step 6: Final answer
    x = 841,709.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.