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Finding the Third Proportional to 121,640 and 193,702

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Solution

The third proportional to 121,640 and 193,702 is: 308,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,640 : 193,702 = 193,702 : x
  2. Step 2: Convert to fraction form
    121,640/193,702 = 193,702/x
  3. Step 3: Cross multiply
    121,640x = 193,702 × 193,702
  4. Step 4: Simplify right side
    121,640x = 37,520,464,804
  5. Step 5: Solve for x
    x = 37,520,464,804/121,640
  6. Step 6: Final answer
    x = 308,454.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.