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Finding the Third Proportional to 409,221 and 889,277

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Solution

The third proportional to 409,221 and 889,277 is: 1,932,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,221 : 889,277 = 889,277 : x
  2. Step 2: Convert to fraction form
    409,221/889,277 = 889,277/x
  3. Step 3: Cross multiply
    409,221x = 889,277 × 889,277
  4. Step 4: Simplify right side
    409,221x = 790,813,582,729
  5. Step 5: Solve for x
    x = 790,813,582,729/409,221
  6. Step 6: Final answer
    x = 1,932,485.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.