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Finding the Third Proportional to 181,127 and 397,246

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Solution

The third proportional to 181,127 and 397,246 is: 871,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,127 : 397,246 = 397,246 : x
  2. Step 2: Convert to fraction form
    181,127/397,246 = 397,246/x
  3. Step 3: Cross multiply
    181,127x = 397,246 × 397,246
  4. Step 4: Simplify right side
    181,127x = 157,804,384,516
  5. Step 5: Solve for x
    x = 157,804,384,516/181,127
  6. Step 6: Final answer
    x = 871,236.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.