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Finding the Third Proportional to 63,986 and 139,618

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Solution

The third proportional to 63,986 and 139,618 is: 304,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,986 : 139,618 = 139,618 : x
  2. Step 2: Convert to fraction form
    63,986/139,618 = 139,618/x
  3. Step 3: Cross multiply
    63,986x = 139,618 × 139,618
  4. Step 4: Simplify right side
    63,986x = 19,493,185,924
  5. Step 5: Solve for x
    x = 19,493,185,924/63,986
  6. Step 6: Final answer
    x = 304,647.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.