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Finding the Third Proportional to 299,163 and 654,642

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Solution

The third proportional to 299,163 and 654,642 is: 1,432,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,163 : 654,642 = 654,642 : x
  2. Step 2: Convert to fraction form
    299,163/654,642 = 654,642/x
  3. Step 3: Cross multiply
    299,163x = 654,642 × 654,642
  4. Step 4: Simplify right side
    299,163x = 428,556,148,164
  5. Step 5: Solve for x
    x = 428,556,148,164/299,163
  6. Step 6: Final answer
    x = 1,432,517.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.