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Finding the Third Proportional to 66,932 and 139,409

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Solution

The third proportional to 66,932 and 139,409 is: 290,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,932 : 139,409 = 139,409 : x
  2. Step 2: Convert to fraction form
    66,932/139,409 = 139,409/x
  3. Step 3: Cross multiply
    66,932x = 139,409 × 139,409
  4. Step 4: Simplify right side
    66,932x = 19,434,869,281
  5. Step 5: Solve for x
    x = 19,434,869,281/66,932
  6. Step 6: Final answer
    x = 290,367.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.