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Finding the Third Proportional to 121,213.13 and 191,178.56

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Solution

The third proportional to 121,213.13 and 191,178.56 is: 301,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,213.13 : 191,178.56 = 191,178.56 : x
  2. Step 2: Convert to fraction form
    121,213.13/191,178.56 = 191,178.56/x
  3. Step 3: Cross multiply
    121,213.13x = 191,178.56 × 191,178.56
  4. Step 4: Simplify right side
    121,213.13x = 36,549,242,759.57
  5. Step 5: Solve for x
    x = 36,549,242,759.57/121,213.13
  6. Step 6: Final answer
    x = 301,528.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.