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Finding the Third Proportional to 88,752 and 133,168

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Solution

The third proportional to 88,752 and 133,168 is: 199,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,752 : 133,168 = 133,168 : x
  2. Step 2: Convert to fraction form
    88,752/133,168 = 133,168/x
  3. Step 3: Cross multiply
    88,752x = 133,168 × 133,168
  4. Step 4: Simplify right side
    88,752x = 17,733,716,224
  5. Step 5: Solve for x
    x = 17,733,716,224/88,752
  6. Step 6: Final answer
    x = 199,812.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.