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Finding the Third Proportional to 66,402 and 138,956

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Solution

The third proportional to 66,402 and 138,956 is: 290,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,402 : 138,956 = 138,956 : x
  2. Step 2: Convert to fraction form
    66,402/138,956 = 138,956/x
  3. Step 3: Cross multiply
    66,402x = 138,956 × 138,956
  4. Step 4: Simplify right side
    66,402x = 19,308,769,936
  5. Step 5: Solve for x
    x = 19,308,769,936/66,402
  6. Step 6: Final answer
    x = 290,785.97

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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.