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Finding the Third Proportional to 210,000 and 324,288

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Solution

The third proportional to 210,000 and 324,288 is: 500,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,000 : 324,288 = 324,288 : x
  2. Step 2: Convert to fraction form
    210,000/324,288 = 324,288/x
  3. Step 3: Cross multiply
    210,000x = 324,288 × 324,288
  4. Step 4: Simplify right side
    210,000x = 105,162,706,944
  5. Step 5: Solve for x
    x = 105,162,706,944/210,000
  6. Step 6: Final answer
    x = 500,774.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.