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Finding the Third Proportional to 3,415 and 7,769.50

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Solution

The third proportional to 3,415 and 7,769.50 is: 17,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 7,769.50 = 7,769.50 : x
  2. Step 2: Convert to fraction form
    3,415/7,769.50 = 7,769.50/x
  3. Step 3: Cross multiply
    3,415x = 7,769.50 × 7,769.50
  4. Step 4: Simplify right side
    3,415x = 60,365,130.25
  5. Step 5: Solve for x
    x = 60,365,130.25/3,415
  6. Step 6: Final answer
    x = 17,676.47

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.