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Finding the Third Proportional to 121,200 and 283,074

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Solution

The third proportional to 121,200 and 283,074 is: 661,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200 : 283,074 = 283,074 : x
  2. Step 2: Convert to fraction form
    121,200/283,074 = 283,074/x
  3. Step 3: Cross multiply
    121,200x = 283,074 × 283,074
  4. Step 4: Simplify right side
    121,200x = 80,130,889,476
  5. Step 5: Solve for x
    x = 80,130,889,476/121,200
  6. Step 6: Final answer
    x = 661,145.95

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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.