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Finding the Third Proportional to 6,363 and 10,912.50

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Solution

The third proportional to 6,363 and 10,912.50 is: 18,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363 : 10,912.50 = 10,912.50 : x
  2. Step 2: Convert to fraction form
    6,363/10,912.50 = 10,912.50/x
  3. Step 3: Cross multiply
    6,363x = 10,912.50 × 10,912.50
  4. Step 4: Simplify right side
    6,363x = 119,082,656.25
  5. Step 5: Solve for x
    x = 119,082,656.25/6,363
  6. Step 6: Final answer
    x = 18,714.86

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.