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Finding the Third Proportional to 639,600 and 1,407,984

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Solution

The third proportional to 639,600 and 1,407,984 is: 3,099,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,600 : 1,407,984 = 1,407,984 : x
  2. Step 2: Convert to fraction form
    639,600/1,407,984 = 1,407,984/x
  3. Step 3: Cross multiply
    639,600x = 1,407,984 × 1,407,984
  4. Step 4: Simplify right side
    639,600x = 1,982,418,944,256
  5. Step 5: Solve for x
    x = 1,982,418,944,256/639,600
  6. Step 6: Final answer
    x = 3,099,466.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.