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Finding the Third Proportional to 63,128.25 and 138,133.13

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Solution

The third proportional to 63,128.25 and 138,133.13 is: 302,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,128.25 : 138,133.13 = 138,133.13 : x
  2. Step 2: Convert to fraction form
    63,128.25/138,133.13 = 138,133.13/x
  3. Step 3: Cross multiply
    63,128.25x = 138,133.13 × 138,133.13
  4. Step 4: Simplify right side
    63,128.25x = 19,080,760,222.27
  5. Step 5: Solve for x
    x = 19,080,760,222.27/63,128.25
  6. Step 6: Final answer
    x = 302,253.91

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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.