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Finding the Third Proportional to 121,326 and 185,390

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Solution

The third proportional to 121,326 and 185,390 is: 283,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,326 : 185,390 = 185,390 : x
  2. Step 2: Convert to fraction form
    121,326/185,390 = 185,390/x
  3. Step 3: Cross multiply
    121,326x = 185,390 × 185,390
  4. Step 4: Simplify right side
    121,326x = 34,369,452,100
  5. Step 5: Solve for x
    x = 34,369,452,100/121,326
  6. Step 6: Final answer
    x = 283,281.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.