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Finding the Third Proportional to 75,281 and 162,318

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Solution

The third proportional to 75,281 and 162,318 is: 349,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 162,318 = 162,318 : x
  2. Step 2: Convert to fraction form
    75,281/162,318 = 162,318/x
  3. Step 3: Cross multiply
    75,281x = 162,318 × 162,318
  4. Step 4: Simplify right side
    75,281x = 26,347,133,124
  5. Step 5: Solve for x
    x = 26,347,133,124/75,281
  6. Step 6: Final answer
    x = 349,983.84

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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.