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Finding the Third Proportional to 121,029 and 186,645.75

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Solution

The third proportional to 121,029 and 186,645.75 is: 287,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,029 : 186,645.75 = 186,645.75 : x
  2. Step 2: Convert to fraction form
    121,029/186,645.75 = 186,645.75/x
  3. Step 3: Cross multiply
    121,029x = 186,645.75 × 186,645.75
  4. Step 4: Simplify right side
    121,029x = 34,836,635,993.06
  5. Step 5: Solve for x
    x = 34,836,635,993.06/121,029
  6. Step 6: Final answer
    x = 287,837.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.