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Finding the Third Proportional to 64,517 and 102,728

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Solution

The third proportional to 64,517 and 102,728 is: 163,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,517 : 102,728 = 102,728 : x
  2. Step 2: Convert to fraction form
    64,517/102,728 = 102,728/x
  3. Step 3: Cross multiply
    64,517x = 102,728 × 102,728
  4. Step 4: Simplify right side
    64,517x = 10,553,041,984
  5. Step 5: Solve for x
    x = 10,553,041,984/64,517
  6. Step 6: Final answer
    x = 163,569.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.