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Finding the Third Proportional to 39,784 and 63,964

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Solution

The third proportional to 39,784 and 63,964 is: 102,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784 : 63,964 = 63,964 : x
  2. Step 2: Convert to fraction form
    39,784/63,964 = 63,964/x
  3. Step 3: Cross multiply
    39,784x = 63,964 × 63,964
  4. Step 4: Simplify right side
    39,784x = 4,091,393,296
  5. Step 5: Solve for x
    x = 4,091,393,296/39,784
  6. Step 6: Final answer
    x = 102,840.17

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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.