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Finding the Third Proportional to 64,480 and 133,856

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Solution

The third proportional to 64,480 and 133,856 is: 277,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,480 : 133,856 = 133,856 : x
  2. Step 2: Convert to fraction form
    64,480/133,856 = 133,856/x
  3. Step 3: Cross multiply
    64,480x = 133,856 × 133,856
  4. Step 4: Simplify right side
    64,480x = 17,917,428,736
  5. Step 5: Solve for x
    x = 17,917,428,736/64,480
  6. Step 6: Final answer
    x = 277,875.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.