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Finding the Third Proportional to 2,655 and 6,415.50

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Solution

The third proportional to 2,655 and 6,415.50 is: 15,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 6,415.50 = 6,415.50 : x
  2. Step 2: Convert to fraction form
    2,655/6,415.50 = 6,415.50/x
  3. Step 3: Cross multiply
    2,655x = 6,415.50 × 6,415.50
  4. Step 4: Simplify right side
    2,655x = 41,158,640.25
  5. Step 5: Solve for x
    x = 41,158,640.25/2,655
  6. Step 6: Final answer
    x = 15,502.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.