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Finding the Third Proportional to 115,760 and 237,664

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Solution

The third proportional to 115,760 and 237,664 is: 487,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,760 : 237,664 = 237,664 : x
  2. Step 2: Convert to fraction form
    115,760/237,664 = 237,664/x
  3. Step 3: Cross multiply
    115,760x = 237,664 × 237,664
  4. Step 4: Simplify right side
    115,760x = 56,484,176,896
  5. Step 5: Solve for x
    x = 56,484,176,896/115,760
  6. Step 6: Final answer
    x = 487,942.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.