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Finding the Third Proportional to 195,648 and 279,840

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Solution

The third proportional to 195,648 and 279,840 is: 400,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,648 : 279,840 = 279,840 : x
  2. Step 2: Convert to fraction form
    195,648/279,840 = 279,840/x
  3. Step 3: Cross multiply
    195,648x = 279,840 × 279,840
  4. Step 4: Simplify right side
    195,648x = 78,310,425,600
  5. Step 5: Solve for x
    x = 78,310,425,600/195,648
  6. Step 6: Final answer
    x = 400,261.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.