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Finding the Third Proportional to 689,616 and 1,517,472

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Solution

The third proportional to 689,616 and 1,517,472 is: 3,339,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,616 : 1,517,472 = 1,517,472 : x
  2. Step 2: Convert to fraction form
    689,616/1,517,472 = 1,517,472/x
  3. Step 3: Cross multiply
    689,616x = 1,517,472 × 1,517,472
  4. Step 4: Simplify right side
    689,616x = 2,302,721,270,784
  5. Step 5: Solve for x
    x = 2,302,721,270,784/689,616
  6. Step 6: Final answer
    x = 3,339,135.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.