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Finding the Third Proportional to 39,684 and 63,807

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Solution

The third proportional to 39,684 and 63,807 is: 102,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,684 : 63,807 = 63,807 : x
  2. Step 2: Convert to fraction form
    39,684/63,807 = 63,807/x
  3. Step 3: Cross multiply
    39,684x = 63,807 × 63,807
  4. Step 4: Simplify right side
    39,684x = 4,071,333,249
  5. Step 5: Solve for x
    x = 4,071,333,249/39,684
  6. Step 6: Final answer
    x = 102,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.