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Finding the Third Proportional to 121,830 and 194,409

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Solution

The third proportional to 121,830 and 194,409 is: 310,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830 : 194,409 = 194,409 : x
  2. Step 2: Convert to fraction form
    121,830/194,409 = 194,409/x
  3. Step 3: Cross multiply
    121,830x = 194,409 × 194,409
  4. Step 4: Simplify right side
    121,830x = 37,794,859,281
  5. Step 5: Solve for x
    x = 37,794,859,281/121,830
  6. Step 6: Final answer
    x = 310,226.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.