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Finding the Third Proportional to 926.63 and 2,025.38

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Solution

The third proportional to 926.63 and 2,025.38 is: 4,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.63 : 2,025.38 = 2,025.38 : x
  2. Step 2: Convert to fraction form
    926.63/2,025.38 = 2,025.38/x
  3. Step 3: Cross multiply
    926.63x = 2,025.38 × 2,025.38
  4. Step 4: Simplify right side
    926.63x = 4,102,143.89
  5. Step 5: Solve for x
    x = 4,102,143.89/926.63
  6. Step 6: Final answer
    x = 4,426.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.