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Finding the Third Proportional to 15,678 and 21,927

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Solution

The third proportional to 15,678 and 21,927 is: 30,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 21,927 = 21,927 : x
  2. Step 2: Convert to fraction form
    15,678/21,927 = 21,927/x
  3. Step 3: Cross multiply
    15,678x = 21,927 × 21,927
  4. Step 4: Simplify right side
    15,678x = 480,793,329
  5. Step 5: Solve for x
    x = 480,793,329/15,678
  6. Step 6: Final answer
    x = 30,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.