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Finding the Third Proportional to 918,221 and 1,983,984

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Solution

The third proportional to 918,221 and 1,983,984 is: 4,286,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,221 : 1,983,984 = 1,983,984 : x
  2. Step 2: Convert to fraction form
    918,221/1,983,984 = 1,983,984/x
  3. Step 3: Cross multiply
    918,221x = 1,983,984 × 1,983,984
  4. Step 4: Simplify right side
    918,221x = 3,936,192,512,256
  5. Step 5: Solve for x
    x = 3,936,192,512,256/918,221
  6. Step 6: Final answer
    x = 4,286,759.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.