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Finding the Third Proportional to 668,455.31 and 987,940.69

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Solution

The third proportional to 668,455.31 and 987,940.69 is: 1,460,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,455.31 : 987,940.69 = 987,940.69 : x
  2. Step 2: Convert to fraction form
    668,455.31/987,940.69 = 987,940.69/x
  3. Step 3: Cross multiply
    668,455.31x = 987,940.69 × 987,940.69
  4. Step 4: Simplify right side
    668,455.31x = 976,026,802,017.97
  5. Step 5: Solve for x
    x = 976,026,802,017.97/668,455.31
  6. Step 6: Final answer
    x = 1,460,122.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.