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Finding the Third Proportional to 28,812 and 62,672

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Solution

The third proportional to 28,812 and 62,672 is: 136,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,812 : 62,672 = 62,672 : x
  2. Step 2: Convert to fraction form
    28,812/62,672 = 62,672/x
  3. Step 3: Cross multiply
    28,812x = 62,672 × 62,672
  4. Step 4: Simplify right side
    28,812x = 3,927,779,584
  5. Step 5: Solve for x
    x = 3,927,779,584/28,812
  6. Step 6: Final answer
    x = 136,324.43

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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.