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Finding the Third Proportional to 121,374.70 and 190,401.89

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Solution

The third proportional to 121,374.70 and 190,401.89 is: 298,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,374.70 : 190,401.89 = 190,401.89 : x
  2. Step 2: Convert to fraction form
    121,374.70/190,401.89 = 190,401.89/x
  3. Step 3: Cross multiply
    121,374.70x = 190,401.89 × 190,401.89
  4. Step 4: Simplify right side
    121,374.70x = 36,252,879,953.57
  5. Step 5: Solve for x
    x = 36,252,879,953.57/121,374.70
  6. Step 6: Final answer
    x = 298,685.63

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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.