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Finding the Third Proportional to 63,081 and 137,970

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Solution

The third proportional to 63,081 and 137,970 is: 301,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,081 : 137,970 = 137,970 : x
  2. Step 2: Convert to fraction form
    63,081/137,970 = 137,970/x
  3. Step 3: Cross multiply
    63,081x = 137,970 × 137,970
  4. Step 4: Simplify right side
    63,081x = 19,035,720,900
  5. Step 5: Solve for x
    x = 19,035,720,900/63,081
  6. Step 6: Final answer
    x = 301,766.31

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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.