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Finding the Third Proportional to 66,481 and 139,933

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Solution

The third proportional to 66,481 and 139,933 is: 294,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,481 : 139,933 = 139,933 : x
  2. Step 2: Convert to fraction form
    66,481/139,933 = 139,933/x
  3. Step 3: Cross multiply
    66,481x = 139,933 × 139,933
  4. Step 4: Simplify right side
    66,481x = 19,581,244,489
  5. Step 5: Solve for x
    x = 19,581,244,489/66,481
  6. Step 6: Final answer
    x = 294,538.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.