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Finding the Third Proportional to 436,188 and 656,467

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Solution

The third proportional to 436,188 and 656,467 is: 987,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,188 : 656,467 = 656,467 : x
  2. Step 2: Convert to fraction form
    436,188/656,467 = 656,467/x
  3. Step 3: Cross multiply
    436,188x = 656,467 × 656,467
  4. Step 4: Simplify right side
    436,188x = 430,948,922,089
  5. Step 5: Solve for x
    x = 430,948,922,089/436,188
  6. Step 6: Final answer
    x = 987,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.