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Finding the Third Proportional to 65,112 and 138,220.50

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Solution

The third proportional to 65,112 and 138,220.50 is: 293,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112 : 138,220.50 = 138,220.50 : x
  2. Step 2: Convert to fraction form
    65,112/138,220.50 = 138,220.50/x
  3. Step 3: Cross multiply
    65,112x = 138,220.50 × 138,220.50
  4. Step 4: Simplify right side
    65,112x = 19,104,906,620.25
  5. Step 5: Solve for x
    x = 19,104,906,620.25/65,112
  6. Step 6: Final answer
    x = 293,416.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.