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Finding the Third Proportional to 30,309 and 65,802

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Solution

The third proportional to 30,309 and 65,802 is: 142,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309 : 65,802 = 65,802 : x
  2. Step 2: Convert to fraction form
    30,309/65,802 = 65,802/x
  3. Step 3: Cross multiply
    30,309x = 65,802 × 65,802
  4. Step 4: Simplify right side
    30,309x = 4,329,903,204
  5. Step 5: Solve for x
    x = 4,329,903,204/30,309
  6. Step 6: Final answer
    x = 142,858.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.