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Finding the Third Proportional to 28,811 and 61,618

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Solution

The third proportional to 28,811 and 61,618 is: 131,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,811 : 61,618 = 61,618 : x
  2. Step 2: Convert to fraction form
    28,811/61,618 = 61,618/x
  3. Step 3: Cross multiply
    28,811x = 61,618 × 61,618
  4. Step 4: Simplify right side
    28,811x = 3,796,777,924
  5. Step 5: Solve for x
    x = 3,796,777,924/28,811
  6. Step 6: Final answer
    x = 131,782.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.