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Finding the Third Proportional to 83,988 and 121,014

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Solution

The third proportional to 83,988 and 121,014 is: 174,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,988 : 121,014 = 121,014 : x
  2. Step 2: Convert to fraction form
    83,988/121,014 = 121,014/x
  3. Step 3: Cross multiply
    83,988x = 121,014 × 121,014
  4. Step 4: Simplify right side
    83,988x = 14,644,388,196
  5. Step 5: Solve for x
    x = 14,644,388,196/83,988
  6. Step 6: Final answer
    x = 174,362.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.