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Finding the Third Proportional to 997,721 and 1,521,489

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Solution

The third proportional to 997,721 and 1,521,489 is: 2,320,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,721 : 1,521,489 = 1,521,489 : x
  2. Step 2: Convert to fraction form
    997,721/1,521,489 = 1,521,489/x
  3. Step 3: Cross multiply
    997,721x = 1,521,489 × 1,521,489
  4. Step 4: Simplify right side
    997,721x = 2,314,928,777,121
  5. Step 5: Solve for x
    x = 2,314,928,777,121/997,721
  6. Step 6: Final answer
    x = 2,320,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.