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Finding the Third Proportional to 421,948 and 995,439

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Solution

The third proportional to 421,948 and 995,439 is: 2,348,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,948 : 995,439 = 995,439 : x
  2. Step 2: Convert to fraction form
    421,948/995,439 = 995,439/x
  3. Step 3: Cross multiply
    421,948x = 995,439 × 995,439
  4. Step 4: Simplify right side
    421,948x = 990,898,802,721
  5. Step 5: Solve for x
    x = 990,898,802,721/421,948
  6. Step 6: Final answer
    x = 2,348,390.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.