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Finding the Third Proportional to 121,942.13 and 191,543.06

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Solution

The third proportional to 121,942.13 and 191,543.06 is: 300,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,942.13 : 191,543.06 = 191,543.06 : x
  2. Step 2: Convert to fraction form
    121,942.13/191,543.06 = 191,543.06/x
  3. Step 3: Cross multiply
    121,942.13x = 191,543.06 × 191,543.06
  4. Step 4: Simplify right side
    121,942.13x = 36,688,744,791.88
  5. Step 5: Solve for x
    x = 36,688,744,791.88/121,942.13
  6. Step 6: Final answer
    x = 300,870.14

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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.