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Finding the Third Proportional to 7,684 and 19,946

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Solution

The third proportional to 7,684 and 19,946 is: 51,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 19,946 = 19,946 : x
  2. Step 2: Convert to fraction form
    7,684/19,946 = 19,946/x
  3. Step 3: Cross multiply
    7,684x = 19,946 × 19,946
  4. Step 4: Simplify right side
    7,684x = 397,842,916
  5. Step 5: Solve for x
    x = 397,842,916/7,684
  6. Step 6: Final answer
    x = 51,775.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.