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Finding the Third Proportional to 288,834 and 655,971

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Solution

The third proportional to 288,834 and 655,971 is: 1,489,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,834 : 655,971 = 655,971 : x
  2. Step 2: Convert to fraction form
    288,834/655,971 = 655,971/x
  3. Step 3: Cross multiply
    288,834x = 655,971 × 655,971
  4. Step 4: Simplify right side
    288,834x = 430,297,952,841
  5. Step 5: Solve for x
    x = 430,297,952,841/288,834
  6. Step 6: Final answer
    x = 1,489,775.97

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.