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Finding the Third Proportional to 461,372 and 991,720

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Solution

The third proportional to 461,372 and 991,720 is: 2,131,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,372 : 991,720 = 991,720 : x
  2. Step 2: Convert to fraction form
    461,372/991,720 = 991,720/x
  3. Step 3: Cross multiply
    461,372x = 991,720 × 991,720
  4. Step 4: Simplify right side
    461,372x = 983,508,558,400
  5. Step 5: Solve for x
    x = 983,508,558,400/461,372
  6. Step 6: Final answer
    x = 2,131,704.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.