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Finding the Third Proportional to 30,310 and 62,122

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Solution

The third proportional to 30,310 and 62,122 is: 127,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310 : 62,122 = 62,122 : x
  2. Step 2: Convert to fraction form
    30,310/62,122 = 62,122/x
  3. Step 3: Cross multiply
    30,310x = 62,122 × 62,122
  4. Step 4: Simplify right side
    30,310x = 3,859,142,884
  5. Step 5: Solve for x
    x = 3,859,142,884/30,310
  6. Step 6: Final answer
    x = 127,322.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.