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Finding the Third Proportional to 15,684 and 23,889

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Solution

The third proportional to 15,684 and 23,889 is: 36,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 23,889 = 23,889 : x
  2. Step 2: Convert to fraction form
    15,684/23,889 = 23,889/x
  3. Step 3: Cross multiply
    15,684x = 23,889 × 23,889
  4. Step 4: Simplify right side
    15,684x = 570,684,321
  5. Step 5: Solve for x
    x = 570,684,321/15,684
  6. Step 6: Final answer
    x = 36,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.