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Finding the Third Proportional to 28,480 and 61,172

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Solution

The third proportional to 28,480 and 61,172 is: 131,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,480 : 61,172 = 61,172 : x
  2. Step 2: Convert to fraction form
    28,480/61,172 = 61,172/x
  3. Step 3: Cross multiply
    28,480x = 61,172 × 61,172
  4. Step 4: Simplify right side
    28,480x = 3,742,013,584
  5. Step 5: Solve for x
    x = 3,742,013,584/28,480
  6. Step 6: Final answer
    x = 131,390.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.