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Finding the Third Proportional to 74,449.75 and 138,419.75

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Solution

The third proportional to 74,449.75 and 138,419.75 is: 257,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449.75 : 138,419.75 = 138,419.75 : x
  2. Step 2: Convert to fraction form
    74,449.75/138,419.75 = 138,419.75/x
  3. Step 3: Cross multiply
    74,449.75x = 138,419.75 × 138,419.75
  4. Step 4: Simplify right side
    74,449.75x = 19,160,027,190.06
  5. Step 5: Solve for x
    x = 19,160,027,190.06/74,449.75
  6. Step 6: Final answer
    x = 257,355.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.