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Finding the Third Proportional to 121,569 and 195,328

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Solution

The third proportional to 121,569 and 195,328 is: 313,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569 : 195,328 = 195,328 : x
  2. Step 2: Convert to fraction form
    121,569/195,328 = 195,328/x
  3. Step 3: Cross multiply
    121,569x = 195,328 × 195,328
  4. Step 4: Simplify right side
    121,569x = 38,153,027,584
  5. Step 5: Solve for x
    x = 38,153,027,584/121,569
  6. Step 6: Final answer
    x = 313,838.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.