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Finding the Third Proportional to 299,066 and 653,860

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Solution

The third proportional to 299,066 and 653,860 is: 1,429,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,066 : 653,860 = 653,860 : x
  2. Step 2: Convert to fraction form
    299,066/653,860 = 653,860/x
  3. Step 3: Cross multiply
    299,066x = 653,860 × 653,860
  4. Step 4: Simplify right side
    299,066x = 427,532,899,600
  5. Step 5: Solve for x
    x = 427,532,899,600/299,066
  6. Step 6: Final answer
    x = 1,429,560.36

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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.