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Finding the Third Proportional to 55,776 and 119,640

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Solution

The third proportional to 55,776 and 119,640 is: 256,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776 : 119,640 = 119,640 : x
  2. Step 2: Convert to fraction form
    55,776/119,640 = 119,640/x
  3. Step 3: Cross multiply
    55,776x = 119,640 × 119,640
  4. Step 4: Simplify right side
    55,776x = 14,313,729,600
  5. Step 5: Solve for x
    x = 14,313,729,600/55,776
  6. Step 6: Final answer
    x = 256,628.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.