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Finding the Third Proportional to 327,240 and 689,472

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Solution

The third proportional to 327,240 and 689,472 is: 1,452,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,240 : 689,472 = 689,472 : x
  2. Step 2: Convert to fraction form
    327,240/689,472 = 689,472/x
  3. Step 3: Cross multiply
    327,240x = 689,472 × 689,472
  4. Step 4: Simplify right side
    327,240x = 475,371,638,784
  5. Step 5: Solve for x
    x = 475,371,638,784/327,240
  6. Step 6: Final answer
    x = 1,452,669.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.