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Finding the Third Proportional to 12,873 and 20,176.50

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Solution

The third proportional to 12,873 and 20,176.50 is: 31,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873 : 20,176.50 = 20,176.50 : x
  2. Step 2: Convert to fraction form
    12,873/20,176.50 = 20,176.50/x
  3. Step 3: Cross multiply
    12,873x = 20,176.50 × 20,176.50
  4. Step 4: Simplify right side
    12,873x = 407,091,152.25
  5. Step 5: Solve for x
    x = 407,091,152.25/12,873
  6. Step 6: Final answer
    x = 31,623.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.