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Finding the Third Proportional to 121,980.94 and 187,727.63

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Solution

The third proportional to 121,980.94 and 187,727.63 is: 288,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,980.94 : 187,727.63 = 187,727.63 : x
  2. Step 2: Convert to fraction form
    121,980.94/187,727.63 = 187,727.63/x
  3. Step 3: Cross multiply
    121,980.94x = 187,727.63 × 187,727.63
  4. Step 4: Simplify right side
    121,980.94x = 35,241,661,188.14
  5. Step 5: Solve for x
    x = 35,241,661,188.14/121,980.94
  6. Step 6: Final answer
    x = 288,911.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.