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Finding the Third Proportional to 66,047 and 138,622

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Solution

The third proportional to 66,047 and 138,622 is: 290,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,047 : 138,622 = 138,622 : x
  2. Step 2: Convert to fraction form
    66,047/138,622 = 138,622/x
  3. Step 3: Cross multiply
    66,047x = 138,622 × 138,622
  4. Step 4: Simplify right side
    66,047x = 19,216,058,884
  5. Step 5: Solve for x
    x = 19,216,058,884/66,047
  6. Step 6: Final answer
    x = 290,945.22

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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.