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Finding the Third Proportional to 213,312 and 324,288

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Solution

The third proportional to 213,312 and 324,288 is: 492,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,312 : 324,288 = 324,288 : x
  2. Step 2: Convert to fraction form
    213,312/324,288 = 324,288/x
  3. Step 3: Cross multiply
    213,312x = 324,288 × 324,288
  4. Step 4: Simplify right side
    213,312x = 105,162,706,944
  5. Step 5: Solve for x
    x = 105,162,706,944/213,312
  6. Step 6: Final answer
    x = 492,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.