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Finding the Third Proportional to 461,345 and 991,663

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Solution

The third proportional to 461,345 and 991,663 is: 2,131,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,345 : 991,663 = 991,663 : x
  2. Step 2: Convert to fraction form
    461,345/991,663 = 991,663/x
  3. Step 3: Cross multiply
    461,345x = 991,663 × 991,663
  4. Step 4: Simplify right side
    461,345x = 983,395,505,569
  5. Step 5: Solve for x
    x = 983,395,505,569/461,345
  6. Step 6: Final answer
    x = 2,131,583.75

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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.