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Finding the Third Proportional to 118,804 and 256,028

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Solution

The third proportional to 118,804 and 256,028 is: 551,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,804 : 256,028 = 256,028 : x
  2. Step 2: Convert to fraction form
    118,804/256,028 = 256,028/x
  3. Step 3: Cross multiply
    118,804x = 256,028 × 256,028
  4. Step 4: Simplify right side
    118,804x = 65,550,336,784
  5. Step 5: Solve for x
    x = 65,550,336,784/118,804
  6. Step 6: Final answer
    x = 551,751.93

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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.