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Finding the Third Proportional to 65,386.69 and 138,619.97

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Solution

The third proportional to 65,386.69 and 138,619.97 is: 293,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.69 : 138,619.97 = 138,619.97 : x
  2. Step 2: Convert to fraction form
    65,386.69/138,619.97 = 138,619.97/x
  3. Step 3: Cross multiply
    65,386.69x = 138,619.97 × 138,619.97
  4. Step 4: Simplify right side
    65,386.69x = 19,215,495,736.25
  5. Step 5: Solve for x
    x = 19,215,495,736.25/65,386.69
  6. Step 6: Final answer
    x = 293,874.74

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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.