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Finding the Third Proportional to 213,288 and 325,392

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Solution

The third proportional to 213,288 and 325,392 is: 496,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288 : 325,392 = 325,392 : x
  2. Step 2: Convert to fraction form
    213,288/325,392 = 325,392/x
  3. Step 3: Cross multiply
    213,288x = 325,392 × 325,392
  4. Step 4: Simplify right side
    213,288x = 105,879,953,664
  5. Step 5: Solve for x
    x = 105,879,953,664/213,288
  6. Step 6: Final answer
    x = 496,417.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.