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Finding the Third Proportional to 28,611 and 61,986

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Solution

The third proportional to 28,611 and 61,986 is: 134,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,611 : 61,986 = 61,986 : x
  2. Step 2: Convert to fraction form
    28,611/61,986 = 61,986/x
  3. Step 3: Cross multiply
    28,611x = 61,986 × 61,986
  4. Step 4: Simplify right side
    28,611x = 3,842,264,196
  5. Step 5: Solve for x
    x = 3,842,264,196/28,611
  6. Step 6: Final answer
    x = 134,293.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.