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Finding the Third Proportional to 77,424 and 167,520

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Solution

The third proportional to 77,424 and 167,520 is: 362,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424 : 167,520 = 167,520 : x
  2. Step 2: Convert to fraction form
    77,424/167,520 = 167,520/x
  3. Step 3: Cross multiply
    77,424x = 167,520 × 167,520
  4. Step 4: Simplify right side
    77,424x = 28,062,950,400
  5. Step 5: Solve for x
    x = 28,062,950,400/77,424
  6. Step 6: Final answer
    x = 362,458.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.