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Finding the Third Proportional to 332,540 and 688,728

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Solution

The third proportional to 332,540 and 688,728 is: 1,426,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,540 : 688,728 = 688,728 : x
  2. Step 2: Convert to fraction form
    332,540/688,728 = 688,728/x
  3. Step 3: Cross multiply
    332,540x = 688,728 × 688,728
  4. Step 4: Simplify right side
    332,540x = 474,346,257,984
  5. Step 5: Solve for x
    x = 474,346,257,984/332,540
  6. Step 6: Final answer
    x = 1,426,433.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.