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Finding the Third Proportional to 461,940.75 and 987,721.31

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Solution

The third proportional to 461,940.75 and 987,721.31 is: 2,111,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,940.75 : 987,721.31 = 987,721.31 : x
  2. Step 2: Convert to fraction form
    461,940.75/987,721.31 = 987,721.31/x
  3. Step 3: Cross multiply
    461,940.75x = 987,721.31 × 987,721.31
  4. Step 4: Simplify right side
    461,940.75x = 975,593,391,166.72
  5. Step 5: Solve for x
    x = 975,593,391,166.72/461,940.75
  6. Step 6: Final answer
    x = 2,111,944.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.