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Finding the Third Proportional to 63,120.94 and 138,120.19

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Solution

The third proportional to 63,120.94 and 138,120.19 is: 302,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,120.94 : 138,120.19 = 138,120.19 : x
  2. Step 2: Convert to fraction form
    63,120.94/138,120.19 = 138,120.19/x
  3. Step 3: Cross multiply
    63,120.94x = 138,120.19 × 138,120.19
  4. Step 4: Simplify right side
    63,120.94x = 19,077,186,195.04
  5. Step 5: Solve for x
    x = 19,077,186,195.04/63,120.94
  6. Step 6: Final answer
    x = 302,232.30

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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.