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Finding the Third Proportional to 205,431 and 448,233.75

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Solution

The third proportional to 205,431 and 448,233.75 is: 978,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,431 : 448,233.75 = 448,233.75 : x
  2. Step 2: Convert to fraction form
    205,431/448,233.75 = 448,233.75/x
  3. Step 3: Cross multiply
    205,431x = 448,233.75 × 448,233.75
  4. Step 4: Simplify right side
    205,431x = 200,913,494,639.06
  5. Step 5: Solve for x
    x = 200,913,494,639.06/205,431
  6. Step 6: Final answer
    x = 978,009.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.