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Finding the Third Proportional to 121,186.13 and 283,069.69

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Solution

The third proportional to 121,186.13 and 283,069.69 is: 661,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,186.13 : 283,069.69 = 283,069.69 : x
  2. Step 2: Convert to fraction form
    121,186.13/283,069.69 = 283,069.69/x
  3. Step 3: Cross multiply
    121,186.13x = 283,069.69 × 283,069.69
  4. Step 4: Simplify right side
    121,186.13x = 80,128,447,981.35
  5. Step 5: Solve for x
    x = 80,128,447,981.35/121,186.13
  6. Step 6: Final answer
    x = 661,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.