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Finding the Third Proportional to 55,724 and 119,728

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Solution

The third proportional to 55,724 and 119,728 is: 257,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724 : 119,728 = 119,728 : x
  2. Step 2: Convert to fraction form
    55,724/119,728 = 119,728/x
  3. Step 3: Cross multiply
    55,724x = 119,728 × 119,728
  4. Step 4: Simplify right side
    55,724x = 14,334,793,984
  5. Step 5: Solve for x
    x = 14,334,793,984/55,724
  6. Step 6: Final answer
    x = 257,246.32

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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.