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Finding the Third Proportional to 9,723.38 and 20,426.63

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Solution

The third proportional to 9,723.38 and 20,426.63 is: 42,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.38 : 20,426.63 = 20,426.63 : x
  2. Step 2: Convert to fraction form
    9,723.38/20,426.63 = 20,426.63/x
  3. Step 3: Cross multiply
    9,723.38x = 20,426.63 × 20,426.63
  4. Step 4: Simplify right side
    9,723.38x = 417,247,008.89
  5. Step 5: Solve for x
    x = 417,247,008.89/9,723.38
  6. Step 6: Final answer
    x = 42,911.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.