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Finding the Third Proportional to 138,840.75 and 303,176.25

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Solution

The third proportional to 138,840.75 and 303,176.25 is: 662,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.75 : 303,176.25 = 303,176.25 : x
  2. Step 2: Convert to fraction form
    138,840.75/303,176.25 = 303,176.25/x
  3. Step 3: Cross multiply
    138,840.75x = 303,176.25 × 303,176.25
  4. Step 4: Simplify right side
    138,840.75x = 91,915,838,564.06
  5. Step 5: Solve for x
    x = 91,915,838,564.06/138,840.75
  6. Step 6: Final answer
    x = 662,023.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.