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Finding the Third Proportional to 30,906 and 66,471

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Solution

The third proportional to 30,906 and 66,471 is: 142,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906 : 66,471 = 66,471 : x
  2. Step 2: Convert to fraction form
    30,906/66,471 = 66,471/x
  3. Step 3: Cross multiply
    30,906x = 66,471 × 66,471
  4. Step 4: Simplify right side
    30,906x = 4,418,393,841
  5. Step 5: Solve for x
    x = 4,418,393,841/30,906
  6. Step 6: Final answer
    x = 142,962.33

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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.