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Finding the Third Proportional to 128,804 and 285,252

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Solution

The third proportional to 128,804 and 285,252 is: 631,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,804 : 285,252 = 285,252 : x
  2. Step 2: Convert to fraction form
    128,804/285,252 = 285,252/x
  3. Step 3: Cross multiply
    128,804x = 285,252 × 285,252
  4. Step 4: Simplify right side
    128,804x = 81,368,703,504
  5. Step 5: Solve for x
    x = 81,368,703,504/128,804
  6. Step 6: Final answer
    x = 631,724.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.