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Finding the Third Proportional to 75,520 and 117,168

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Solution

The third proportional to 75,520 and 117,168 is: 181,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,520 : 117,168 = 117,168 : x
  2. Step 2: Convert to fraction form
    75,520/117,168 = 117,168/x
  3. Step 3: Cross multiply
    75,520x = 117,168 × 117,168
  4. Step 4: Simplify right side
    75,520x = 13,728,340,224
  5. Step 5: Solve for x
    x = 13,728,340,224/75,520
  6. Step 6: Final answer
    x = 181,784.17

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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.