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Finding the Third Proportional to 66,330 and 138,813

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Solution

The third proportional to 66,330 and 138,813 is: 290,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,330 : 138,813 = 138,813 : x
  2. Step 2: Convert to fraction form
    66,330/138,813 = 138,813/x
  3. Step 3: Cross multiply
    66,330x = 138,813 × 138,813
  4. Step 4: Simplify right side
    66,330x = 19,269,048,969
  5. Step 5: Solve for x
    x = 19,269,048,969/66,330
  6. Step 6: Final answer
    x = 290,502.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.