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Finding the Third Proportional to 121,123.69 and 185,922.84

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Solution

The third proportional to 121,123.69 and 185,922.84 is: 285,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,123.69 : 185,922.84 = 185,922.84 : x
  2. Step 2: Convert to fraction form
    121,123.69/185,922.84 = 185,922.84/x
  3. Step 3: Cross multiply
    121,123.69x = 185,922.84 × 185,922.84
  4. Step 4: Simplify right side
    121,123.69x = 34,567,303,828.09
  5. Step 5: Solve for x
    x = 34,567,303,828.09/121,123.69
  6. Step 6: Final answer
    x = 285,388.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.