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Finding the Third Proportional to 3,207 and 7,801.50

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Solution

The third proportional to 3,207 and 7,801.50 is: 18,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 7,801.50 = 7,801.50 : x
  2. Step 2: Convert to fraction form
    3,207/7,801.50 = 7,801.50/x
  3. Step 3: Cross multiply
    3,207x = 7,801.50 × 7,801.50
  4. Step 4: Simplify right side
    3,207x = 60,863,402.25
  5. Step 5: Solve for x
    x = 60,863,402.25/3,207
  6. Step 6: Final answer
    x = 18,978.30

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.