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Finding the Third Proportional to 225,648 and 331,488

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Solution

The third proportional to 225,648 and 331,488 is: 486,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,648 : 331,488 = 331,488 : x
  2. Step 2: Convert to fraction form
    225,648/331,488 = 331,488/x
  3. Step 3: Cross multiply
    225,648x = 331,488 × 331,488
  4. Step 4: Simplify right side
    225,648x = 109,884,294,144
  5. Step 5: Solve for x
    x = 109,884,294,144/225,648
  6. Step 6: Final answer
    x = 486,972.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.