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Finding the Third Proportional to 299,219 and 654,742

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Solution

The third proportional to 299,219 and 654,742 is: 1,432,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,219 : 654,742 = 654,742 : x
  2. Step 2: Convert to fraction form
    299,219/654,742 = 654,742/x
  3. Step 3: Cross multiply
    299,219x = 654,742 × 654,742
  4. Step 4: Simplify right side
    299,219x = 428,687,086,564
  5. Step 5: Solve for x
    x = 428,687,086,564/299,219
  6. Step 6: Final answer
    x = 1,432,686.72

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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.