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Finding the Third Proportional to 121,895 and 188,370

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Solution

The third proportional to 121,895 and 188,370 is: 291,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,895 : 188,370 = 188,370 : x
  2. Step 2: Convert to fraction form
    121,895/188,370 = 188,370/x
  3. Step 3: Cross multiply
    121,895x = 188,370 × 188,370
  4. Step 4: Simplify right side
    121,895x = 35,483,256,900
  5. Step 5: Solve for x
    x = 35,483,256,900/121,895
  6. Step 6: Final answer
    x = 291,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.