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Finding the Third Proportional to 188,438 and 269,737

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Solution

The third proportional to 188,438 and 269,737 is: 386,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,438 : 269,737 = 269,737 : x
  2. Step 2: Convert to fraction form
    188,438/269,737 = 269,737/x
  3. Step 3: Cross multiply
    188,438x = 269,737 × 269,737
  4. Step 4: Simplify right side
    188,438x = 72,758,049,169
  5. Step 5: Solve for x
    x = 72,758,049,169/188,438
  6. Step 6: Final answer
    x = 386,111.34

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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.