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Finding the Third Proportional to 64,496 and 133,549

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Solution

The third proportional to 64,496 and 133,549 is: 276,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496 : 133,549 = 133,549 : x
  2. Step 2: Convert to fraction form
    64,496/133,549 = 133,549/x
  3. Step 3: Cross multiply
    64,496x = 133,549 × 133,549
  4. Step 4: Simplify right side
    64,496x = 17,835,335,401
  5. Step 5: Solve for x
    x = 17,835,335,401/64,496
  6. Step 6: Final answer
    x = 276,533.98

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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.