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Finding the Third Proportional to 395,418 and 869,556

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Solution

The third proportional to 395,418 and 869,556 is: 1,912,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,418 : 869,556 = 869,556 : x
  2. Step 2: Convert to fraction form
    395,418/869,556 = 869,556/x
  3. Step 3: Cross multiply
    395,418x = 869,556 × 869,556
  4. Step 4: Simplify right side
    395,418x = 756,127,637,136
  5. Step 5: Solve for x
    x = 756,127,637,136/395,418
  6. Step 6: Final answer
    x = 1,912,223.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.