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Finding the Third Proportional to 75,364 and 163,831

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Solution

The third proportional to 75,364 and 163,831 is: 356,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,364 : 163,831 = 163,831 : x
  2. Step 2: Convert to fraction form
    75,364/163,831 = 163,831/x
  3. Step 3: Cross multiply
    75,364x = 163,831 × 163,831
  4. Step 4: Simplify right side
    75,364x = 26,840,596,561
  5. Step 5: Solve for x
    x = 26,840,596,561/75,364
  6. Step 6: Final answer
    x = 356,146.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.