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Finding the Third Proportional to 436,623 and 656,556

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Solution

The third proportional to 436,623 and 656,556 is: 987,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,623 : 656,556 = 656,556 : x
  2. Step 2: Convert to fraction form
    436,623/656,556 = 656,556/x
  3. Step 3: Cross multiply
    436,623x = 656,556 × 656,556
  4. Step 4: Simplify right side
    436,623x = 431,065,781,136
  5. Step 5: Solve for x
    x = 431,065,781,136/436,623
  6. Step 6: Final answer
    x = 987,272.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.