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Finding the Third Proportional to 62,769 and 137,979

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Solution

The third proportional to 62,769 and 137,979 is: 303,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,769 : 137,979 = 137,979 : x
  2. Step 2: Convert to fraction form
    62,769/137,979 = 137,979/x
  3. Step 3: Cross multiply
    62,769x = 137,979 × 137,979
  4. Step 4: Simplify right side
    62,769x = 19,038,204,441
  5. Step 5: Solve for x
    x = 19,038,204,441/62,769
  6. Step 6: Final answer
    x = 303,305.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.