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Finding the Third Proportional to 66,129 and 138,719

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Solution

The third proportional to 66,129 and 138,719 is: 290,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,129 : 138,719 = 138,719 : x
  2. Step 2: Convert to fraction form
    66,129/138,719 = 138,719/x
  3. Step 3: Cross multiply
    66,129x = 138,719 × 138,719
  4. Step 4: Simplify right side
    66,129x = 19,242,960,961
  5. Step 5: Solve for x
    x = 19,242,960,961/66,129
  6. Step 6: Final answer
    x = 290,991.26

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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.