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Finding the Third Proportional to 270,274 and 423,974

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Solution

The third proportional to 270,274 and 423,974 is: 665,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,274 : 423,974 = 423,974 : x
  2. Step 2: Convert to fraction form
    270,274/423,974 = 423,974/x
  3. Step 3: Cross multiply
    270,274x = 423,974 × 423,974
  4. Step 4: Simplify right side
    270,274x = 179,753,952,676
  5. Step 5: Solve for x
    x = 179,753,952,676/270,274
  6. Step 6: Final answer
    x = 665,080.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.