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Finding the Third Proportional to 121,574 and 195,336

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Solution

The third proportional to 121,574 and 195,336 is: 313,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,574 : 195,336 = 195,336 : x
  2. Step 2: Convert to fraction form
    121,574/195,336 = 195,336/x
  3. Step 3: Cross multiply
    121,574x = 195,336 × 195,336
  4. Step 4: Simplify right side
    121,574x = 38,156,152,896
  5. Step 5: Solve for x
    x = 38,156,152,896/121,574
  6. Step 6: Final answer
    x = 313,851.26

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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.