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Finding the Third Proportional to 30,351 and 62,205

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Solution

The third proportional to 30,351 and 62,205 is: 127,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351 : 62,205 = 62,205 : x
  2. Step 2: Convert to fraction form
    30,351/62,205 = 62,205/x
  3. Step 3: Cross multiply
    30,351x = 62,205 × 62,205
  4. Step 4: Simplify right side
    30,351x = 3,869,462,025
  5. Step 5: Solve for x
    x = 3,869,462,025/30,351
  6. Step 6: Final answer
    x = 127,490.43

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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.