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Finding the Third Proportional to 4,714.29 and 9,815.87

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Solution

The third proportional to 4,714.29 and 9,815.87 is: 20,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.29 : 9,815.87 = 9,815.87 : x
  2. Step 2: Convert to fraction form
    4,714.29/9,815.87 = 9,815.87/x
  3. Step 3: Cross multiply
    4,714.29x = 9,815.87 × 9,815.87
  4. Step 4: Simplify right side
    4,714.29x = 96,351,325.33
  5. Step 5: Solve for x
    x = 96,351,325.33/4,714.29
  6. Step 6: Final answer
    x = 20,438.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.