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Finding the Third Proportional to 363,522 and 551,815

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Solution

The third proportional to 363,522 and 551,815 is: 837,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,522 : 551,815 = 551,815 : x
  2. Step 2: Convert to fraction form
    363,522/551,815 = 551,815/x
  3. Step 3: Cross multiply
    363,522x = 551,815 × 551,815
  4. Step 4: Simplify right side
    363,522x = 304,499,794,225
  5. Step 5: Solve for x
    x = 304,499,794,225/363,522
  6. Step 6: Final answer
    x = 837,637.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.