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Finding the Third Proportional to 657,105 and 959,821

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Solution

The third proportional to 657,105 and 959,821 is: 1,401,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,105 : 959,821 = 959,821 : x
  2. Step 2: Convert to fraction form
    657,105/959,821 = 959,821/x
  3. Step 3: Cross multiply
    657,105x = 959,821 × 959,821
  4. Step 4: Simplify right side
    657,105x = 921,256,352,041
  5. Step 5: Solve for x
    x = 921,256,352,041/657,105
  6. Step 6: Final answer
    x = 1,401,992.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.