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Finding the Third Proportional to 671,400 and 1,491,984

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Solution

The third proportional to 671,400 and 1,491,984 is: 3,315,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,400 : 1,491,984 = 1,491,984 : x
  2. Step 2: Convert to fraction form
    671,400/1,491,984 = 1,491,984/x
  3. Step 3: Cross multiply
    671,400x = 1,491,984 × 1,491,984
  4. Step 4: Simplify right side
    671,400x = 2,226,016,256,256
  5. Step 5: Solve for x
    x = 2,226,016,256,256/671,400
  6. Step 6: Final answer
    x = 3,315,484.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.