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Finding the Third Proportional to 28,581 and 61,170

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Solution

The third proportional to 28,581 and 61,170 is: 130,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,581 : 61,170 = 61,170 : x
  2. Step 2: Convert to fraction form
    28,581/61,170 = 61,170/x
  3. Step 3: Cross multiply
    28,581x = 61,170 × 61,170
  4. Step 4: Simplify right side
    28,581x = 3,741,768,900
  5. Step 5: Solve for x
    x = 3,741,768,900/28,581
  6. Step 6: Final answer
    x = 130,918.05

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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.