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Finding the Third Proportional to 66,883 and 139,301.75

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Solution

The third proportional to 66,883 and 139,301.75 is: 290,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,883 : 139,301.75 = 139,301.75 : x
  2. Step 2: Convert to fraction form
    66,883/139,301.75 = 139,301.75/x
  3. Step 3: Cross multiply
    66,883x = 139,301.75 × 139,301.75
  4. Step 4: Simplify right side
    66,883x = 19,404,977,553.06
  5. Step 5: Solve for x
    x = 19,404,977,553.06/66,883
  6. Step 6: Final answer
    x = 290,133.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.