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Finding the Third Proportional to 331,392 and 709,224

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Solution

The third proportional to 331,392 and 709,224 is: 1,517,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,392 : 709,224 = 709,224 : x
  2. Step 2: Convert to fraction form
    331,392/709,224 = 709,224/x
  3. Step 3: Cross multiply
    331,392x = 709,224 × 709,224
  4. Step 4: Simplify right side
    331,392x = 502,998,682,176
  5. Step 5: Solve for x
    x = 502,998,682,176/331,392
  6. Step 6: Final answer
    x = 1,517,835.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.