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Finding the Third Proportional to 63,120.75 and 137,541

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Solution

The third proportional to 63,120.75 and 137,541 is: 299,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,120.75 : 137,541 = 137,541 : x
  2. Step 2: Convert to fraction form
    63,120.75/137,541 = 137,541/x
  3. Step 3: Cross multiply
    63,120.75x = 137,541 × 137,541
  4. Step 4: Simplify right side
    63,120.75x = 18,917,526,681
  5. Step 5: Solve for x
    x = 18,917,526,681/63,120.75
  6. Step 6: Final answer
    x = 299,703.77

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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.