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Finding the Third Proportional to 55,485 and 119,838

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Solution

The third proportional to 55,485 and 119,838 is: 258,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,485 : 119,838 = 119,838 : x
  2. Step 2: Convert to fraction form
    55,485/119,838 = 119,838/x
  3. Step 3: Cross multiply
    55,485x = 119,838 × 119,838
  4. Step 4: Simplify right side
    55,485x = 14,361,146,244
  5. Step 5: Solve for x
    x = 14,361,146,244/55,485
  6. Step 6: Final answer
    x = 258,829.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.