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Finding the Third Proportional to 121,201 and 283,076

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Solution

The third proportional to 121,201 and 283,076 is: 661,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,201 : 283,076 = 283,076 : x
  2. Step 2: Convert to fraction form
    121,201/283,076 = 283,076/x
  3. Step 3: Cross multiply
    121,201x = 283,076 × 283,076
  4. Step 4: Simplify right side
    121,201x = 80,132,021,776
  5. Step 5: Solve for x
    x = 80,132,021,776/121,201
  6. Step 6: Final answer
    x = 661,149.84

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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.