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Finding the Third Proportional to 9,423.50 and 19,815.50

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Solution

The third proportional to 9,423.50 and 19,815.50 is: 41,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.50 : 19,815.50 = 19,815.50 : x
  2. Step 2: Convert to fraction form
    9,423.50/19,815.50 = 19,815.50/x
  3. Step 3: Cross multiply
    9,423.50x = 19,815.50 × 19,815.50
  4. Step 4: Simplify right side
    9,423.50x = 392,654,040.25
  5. Step 5: Solve for x
    x = 392,654,040.25/9,423.50
  6. Step 6: Final answer
    x = 41,667.54

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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.