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Finding the Third Proportional to 133,742 and 293,728

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Solution

The third proportional to 133,742 and 293,728 is: 645,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742 : 293,728 = 293,728 : x
  2. Step 2: Convert to fraction form
    133,742/293,728 = 293,728/x
  3. Step 3: Cross multiply
    133,742x = 293,728 × 293,728
  4. Step 4: Simplify right side
    133,742x = 86,276,137,984
  5. Step 5: Solve for x
    x = 86,276,137,984/133,742
  6. Step 6: Final answer
    x = 645,093.82

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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.