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Finding the Third Proportional to 63,129.75 and 138,135.75

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Solution

The third proportional to 63,129.75 and 138,135.75 is: 302,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,129.75 : 138,135.75 = 138,135.75 : x
  2. Step 2: Convert to fraction form
    63,129.75/138,135.75 = 138,135.75/x
  3. Step 3: Cross multiply
    63,129.75x = 138,135.75 × 138,135.75
  4. Step 4: Simplify right side
    63,129.75x = 19,081,485,428.06
  5. Step 5: Solve for x
    x = 19,081,485,428.06/63,129.75
  6. Step 6: Final answer
    x = 302,258.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.