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Finding the Third Proportional to 121,998 and 187,752

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Solution

The third proportional to 121,998 and 187,752 is: 288,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,998 : 187,752 = 187,752 : x
  2. Step 2: Convert to fraction form
    121,998/187,752 = 187,752/x
  3. Step 3: Cross multiply
    121,998x = 187,752 × 187,752
  4. Step 4: Simplify right side
    121,998x = 35,250,813,504
  5. Step 5: Solve for x
    x = 35,250,813,504/121,998
  6. Step 6: Final answer
    x = 288,945.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.