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Finding the Third Proportional to 139,727 and 197,521

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Solution

The third proportional to 139,727 and 197,521 is: 279,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,727 : 197,521 = 197,521 : x
  2. Step 2: Convert to fraction form
    139,727/197,521 = 197,521/x
  3. Step 3: Cross multiply
    139,727x = 197,521 × 197,521
  4. Step 4: Simplify right side
    139,727x = 39,014,545,441
  5. Step 5: Solve for x
    x = 39,014,545,441/139,727
  6. Step 6: Final answer
    x = 279,219.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.