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Finding the Third Proportional to 121,529.74 and 183,973.78

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Solution

The third proportional to 121,529.74 and 183,973.78 is: 278,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,529.74 : 183,973.78 = 183,973.78 : x
  2. Step 2: Convert to fraction form
    121,529.74/183,973.78 = 183,973.78/x
  3. Step 3: Cross multiply
    121,529.74x = 183,973.78 × 183,973.78
  4. Step 4: Simplify right side
    121,529.74x = 33,846,352,187.42
  5. Step 5: Solve for x
    x = 33,846,352,187.42/121,529.74
  6. Step 6: Final answer
    x = 278,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.