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Finding the Third Proportional to 30,104 and 64,865

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Solution

The third proportional to 30,104 and 64,865 is: 139,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,104 : 64,865 = 64,865 : x
  2. Step 2: Convert to fraction form
    30,104/64,865 = 64,865/x
  3. Step 3: Cross multiply
    30,104x = 64,865 × 64,865
  4. Step 4: Simplify right side
    30,104x = 4,207,468,225
  5. Step 5: Solve for x
    x = 4,207,468,225/30,104
  6. Step 6: Final answer
    x = 139,764.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.