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Finding the Third Proportional to 299,211 and 655,650

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Solution

The third proportional to 299,211 and 655,650 is: 1,436,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211 : 655,650 = 655,650 : x
  2. Step 2: Convert to fraction form
    299,211/655,650 = 655,650/x
  3. Step 3: Cross multiply
    299,211x = 655,650 × 655,650
  4. Step 4: Simplify right side
    299,211x = 429,876,922,500
  5. Step 5: Solve for x
    x = 429,876,922,500/299,211
  6. Step 6: Final answer
    x = 1,436,701.60

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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.