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Finding the Third Proportional to 3,101 and 6,505.50

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Solution

The third proportional to 3,101 and 6,505.50 is: 13,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101 : 6,505.50 = 6,505.50 : x
  2. Step 2: Convert to fraction form
    3,101/6,505.50 = 6,505.50/x
  3. Step 3: Cross multiply
    3,101x = 6,505.50 × 6,505.50
  4. Step 4: Simplify right side
    3,101x = 42,321,530.25
  5. Step 5: Solve for x
    x = 42,321,530.25/3,101
  6. Step 6: Final answer
    x = 13,647.70

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Why These Related Problems?

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