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Finding the Third Proportional to 28,852 and 61,178

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Solution

The third proportional to 28,852 and 61,178 is: 129,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,852 : 61,178 = 61,178 : x
  2. Step 2: Convert to fraction form
    28,852/61,178 = 61,178/x
  3. Step 3: Cross multiply
    28,852x = 61,178 × 61,178
  4. Step 4: Simplify right side
    28,852x = 3,742,747,684
  5. Step 5: Solve for x
    x = 3,742,747,684/28,852
  6. Step 6: Final answer
    x = 129,722.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.