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Finding the Third Proportional to 640,997 and 1,367,791

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Solution

The third proportional to 640,997 and 1,367,791 is: 2,918,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,997 : 1,367,791 = 1,367,791 : x
  2. Step 2: Convert to fraction form
    640,997/1,367,791 = 1,367,791/x
  3. Step 3: Cross multiply
    640,997x = 1,367,791 × 1,367,791
  4. Step 4: Simplify right side
    640,997x = 1,870,852,219,681
  5. Step 5: Solve for x
    x = 1,870,852,219,681/640,997
  6. Step 6: Final answer
    x = 2,918,659.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.