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Finding the Third Proportional to 19,383.47 and 31,099.78

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Solution

The third proportional to 19,383.47 and 31,099.78 is: 49,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383.47 : 31,099.78 = 31,099.78 : x
  2. Step 2: Convert to fraction form
    19,383.47/31,099.78 = 31,099.78/x
  3. Step 3: Cross multiply
    19,383.47x = 31,099.78 × 31,099.78
  4. Step 4: Simplify right side
    19,383.47x = 967,196,393.80
  5. Step 5: Solve for x
    x = 967,196,393.80/19,383.47
  6. Step 6: Final answer
    x = 49,898.00

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.