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Finding the Third Proportional to 6,618 and 16,318.50

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Solution

The third proportional to 6,618 and 16,318.50 is: 40,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618 : 16,318.50 = 16,318.50 : x
  2. Step 2: Convert to fraction form
    6,618/16,318.50 = 16,318.50/x
  3. Step 3: Cross multiply
    6,618x = 16,318.50 × 16,318.50
  4. Step 4: Simplify right side
    6,618x = 266,293,442.25
  5. Step 5: Solve for x
    x = 266,293,442.25/6,618
  6. Step 6: Final answer
    x = 40,237.75

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.