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Finding the Third Proportional to 28,678 and 61,892

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Solution

The third proportional to 28,678 and 61,892 is: 133,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,678 : 61,892 = 61,892 : x
  2. Step 2: Convert to fraction form
    28,678/61,892 = 61,892/x
  3. Step 3: Cross multiply
    28,678x = 61,892 × 61,892
  4. Step 4: Simplify right side
    28,678x = 3,830,619,664
  5. Step 5: Solve for x
    x = 3,830,619,664/28,678
  6. Step 6: Final answer
    x = 133,573.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.