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Finding the Third Proportional to 6,935.98 and 15,285.80

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Solution

The third proportional to 6,935.98 and 15,285.80 is: 33,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.98 : 15,285.80 = 15,285.80 : x
  2. Step 2: Convert to fraction form
    6,935.98/15,285.80 = 15,285.80/x
  3. Step 3: Cross multiply
    6,935.98x = 15,285.80 × 15,285.80
  4. Step 4: Simplify right side
    6,935.98x = 233,655,586.10
  5. Step 5: Solve for x
    x = 233,655,586.10/6,935.98
  6. Step 6: Final answer
    x = 33,687.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.