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Finding the Third Proportional to 30,431 and 61,699

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Solution

The third proportional to 30,431 and 61,699 is: 125,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431 : 61,699 = 61,699 : x
  2. Step 2: Convert to fraction form
    30,431/61,699 = 61,699/x
  3. Step 3: Cross multiply
    30,431x = 61,699 × 61,699
  4. Step 4: Simplify right side
    30,431x = 3,806,766,601
  5. Step 5: Solve for x
    x = 3,806,766,601/30,431
  6. Step 6: Final answer
    x = 125,095.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.