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Finding the Third Proportional to 217,728.95 and 300,862.00

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Solution

The third proportional to 217,728.95 and 300,862.00 is: 415,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,728.95 : 300,862.00 = 300,862.00 : x
  2. Step 2: Convert to fraction form
    217,728.95/300,862.00 = 300,862.00/x
  3. Step 3: Cross multiply
    217,728.95x = 300,862.00 × 300,862.00
  4. Step 4: Simplify right side
    217,728.95x = 90,517,944,219.24
  5. Step 5: Solve for x
    x = 90,517,944,219.24/217,728.95
  6. Step 6: Final answer
    x = 415,736.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.