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Finding the Third Proportional to 28,561 and 61,889

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Solution

The third proportional to 28,561 and 61,889 is: 134,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,561 : 61,889 = 61,889 : x
  2. Step 2: Convert to fraction form
    28,561/61,889 = 61,889/x
  3. Step 3: Cross multiply
    28,561x = 61,889 × 61,889
  4. Step 4: Simplify right side
    28,561x = 3,830,248,321
  5. Step 5: Solve for x
    x = 3,830,248,321/28,561
  6. Step 6: Final answer
    x = 134,107.64

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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.