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Finding the Third Proportional to 28,357.50 and 61,905

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Solution

The third proportional to 28,357.50 and 61,905 is: 135,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,357.50 : 61,905 = 61,905 : x
  2. Step 2: Convert to fraction form
    28,357.50/61,905 = 61,905/x
  3. Step 3: Cross multiply
    28,357.50x = 61,905 × 61,905
  4. Step 4: Simplify right side
    28,357.50x = 3,832,229,025
  5. Step 5: Solve for x
    x = 3,832,229,025/28,357.50
  6. Step 6: Final answer
    x = 135,139.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.