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Finding the Third Proportional to 423,222 and 655,857

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Solution

The third proportional to 423,222 and 655,857 is: 1,016,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,222 : 655,857 = 655,857 : x
  2. Step 2: Convert to fraction form
    423,222/655,857 = 655,857/x
  3. Step 3: Cross multiply
    423,222x = 655,857 × 655,857
  4. Step 4: Simplify right side
    423,222x = 430,148,404,449
  5. Step 5: Solve for x
    x = 430,148,404,449/423,222
  6. Step 6: Final answer
    x = 1,016,365.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.