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Finding the Third Proportional to 909,252 and 1,397,997

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Solution

The third proportional to 909,252 and 1,397,997 is: 2,149,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,252 : 1,397,997 = 1,397,997 : x
  2. Step 2: Convert to fraction form
    909,252/1,397,997 = 1,397,997/x
  3. Step 3: Cross multiply
    909,252x = 1,397,997 × 1,397,997
  4. Step 4: Simplify right side
    909,252x = 1,954,395,612,009
  5. Step 5: Solve for x
    x = 1,954,395,612,009/909,252
  6. Step 6: Final answer
    x = 2,149,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.