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Finding the Third Proportional to 65,701.13 and 138,920.06

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Solution

The third proportional to 65,701.13 and 138,920.06 is: 293,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 138,920.06 = 138,920.06 : x
  2. Step 2: Convert to fraction form
    65,701.13/138,920.06 = 138,920.06/x
  3. Step 3: Cross multiply
    65,701.13x = 138,920.06 × 138,920.06
  4. Step 4: Simplify right side
    65,701.13x = 19,298,783,765.00
  5. Step 5: Solve for x
    x = 19,298,783,765.00/65,701.13
  6. Step 6: Final answer
    x = 293,735.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.