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Finding the Third Proportional to 121,284.50 and 190,837

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Solution

The third proportional to 121,284.50 and 190,837 is: 300,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,284.50 : 190,837 = 190,837 : x
  2. Step 2: Convert to fraction form
    121,284.50/190,837 = 190,837/x
  3. Step 3: Cross multiply
    121,284.50x = 190,837 × 190,837
  4. Step 4: Simplify right side
    121,284.50x = 36,418,760,569
  5. Step 5: Solve for x
    x = 36,418,760,569/121,284.50
  6. Step 6: Final answer
    x = 300,275.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.