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Finding the Third Proportional to 8,219,463 and 13,090,234.50

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Solution

The third proportional to 8,219,463 and 13,090,234.50 is: 20,847,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219,463 : 13,090,234.50 = 13,090,234.50 : x
  2. Step 2: Convert to fraction form
    8,219,463/13,090,234.50 = 13,090,234.50/x
  3. Step 3: Cross multiply
    8,219,463x = 13,090,234.50 × 13,090,234.50
  4. Step 4: Simplify right side
    8,219,463x = 171,354,239,264,990.25
  5. Step 5: Solve for x
    x = 171,354,239,264,990.25/8,219,463
  6. Step 6: Final answer
    x = 20,847,376.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.