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Finding the Third Proportional to 3,857,835 and 8,247,138

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Solution

The third proportional to 3,857,835 and 8,247,138 is: 17,630,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,835 : 8,247,138 = 8,247,138 : x
  2. Step 2: Convert to fraction form
    3,857,835/8,247,138 = 8,247,138/x
  3. Step 3: Cross multiply
    3,857,835x = 8,247,138 × 8,247,138
  4. Step 4: Simplify right side
    3,857,835x = 68,015,285,191,044
  5. Step 5: Solve for x
    x = 68,015,285,191,044/3,857,835
  6. Step 6: Final answer
    x = 17,630,428.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.