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Finding the Third Proportional to 279,141 and 398,703

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Solution

The third proportional to 279,141 and 398,703 is: 569,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,141 : 398,703 = 398,703 : x
  2. Step 2: Convert to fraction form
    279,141/398,703 = 398,703/x
  3. Step 3: Cross multiply
    279,141x = 398,703 × 398,703
  4. Step 4: Simplify right side
    279,141x = 158,964,082,209
  5. Step 5: Solve for x
    x = 158,964,082,209/279,141
  6. Step 6: Final answer
    x = 569,475.94

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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.