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Finding the Third Proportional to 5,138 and 5,618

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Solution

The third proportional to 5,138 and 5,618 is: 6,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 5,618 = 5,618 : x
  2. Step 2: Convert to fraction form
    5,138/5,618 = 5,618/x
  3. Step 3: Cross multiply
    5,138x = 5,618 × 5,618
  4. Step 4: Simplify right side
    5,138x = 31,561,924
  5. Step 5: Solve for x
    x = 31,561,924/5,138
  6. Step 6: Final answer
    x = 6,142.84

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.