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Finding the Third Proportional to 75,420 and 158,184

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Solution

The third proportional to 75,420 and 158,184 is: 331,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,420 : 158,184 = 158,184 : x
  2. Step 2: Convert to fraction form
    75,420/158,184 = 158,184/x
  3. Step 3: Cross multiply
    75,420x = 158,184 × 158,184
  4. Step 4: Simplify right side
    75,420x = 25,022,177,856
  5. Step 5: Solve for x
    x = 25,022,177,856/75,420
  6. Step 6: Final answer
    x = 331,771.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.