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Finding the Third Proportional to 136,584 and 289,728

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Solution

The third proportional to 136,584 and 289,728 is: 614,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,584 : 289,728 = 289,728 : x
  2. Step 2: Convert to fraction form
    136,584/289,728 = 289,728/x
  3. Step 3: Cross multiply
    136,584x = 289,728 × 289,728
  4. Step 4: Simplify right side
    136,584x = 83,942,313,984
  5. Step 5: Solve for x
    x = 83,942,313,984/136,584
  6. Step 6: Final answer
    x = 614,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.