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Finding the Third Proportional to 30,839 and 66,437

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Solution

The third proportional to 30,839 and 66,437 is: 143,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839 : 66,437 = 66,437 : x
  2. Step 2: Convert to fraction form
    30,839/66,437 = 66,437/x
  3. Step 3: Cross multiply
    30,839x = 66,437 × 66,437
  4. Step 4: Simplify right side
    30,839x = 4,413,874,969
  5. Step 5: Solve for x
    x = 4,413,874,969/30,839
  6. Step 6: Final answer
    x = 143,126.40

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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.