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Finding the Third Proportional to 30,295 and 64,802

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Solution

The third proportional to 30,295 and 64,802 is: 138,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295 : 64,802 = 64,802 : x
  2. Step 2: Convert to fraction form
    30,295/64,802 = 64,802/x
  3. Step 3: Cross multiply
    30,295x = 64,802 × 64,802
  4. Step 4: Simplify right side
    30,295x = 4,199,299,204
  5. Step 5: Solve for x
    x = 4,199,299,204/30,295
  6. Step 6: Final answer
    x = 138,613.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.