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Finding the Third Proportional to 8,557.13 and 12,800.63

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Solution

The third proportional to 8,557.13 and 12,800.63 is: 19,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.13 : 12,800.63 = 12,800.63 : x
  2. Step 2: Convert to fraction form
    8,557.13/12,800.63 = 12,800.63/x
  3. Step 3: Cross multiply
    8,557.13x = 12,800.63 × 12,800.63
  4. Step 4: Simplify right side
    8,557.13x = 163,856,000.39
  5. Step 5: Solve for x
    x = 163,856,000.39/8,557.13
  6. Step 6: Final answer
    x = 19,148.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.