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Finding the Third Proportional to 10,269,433.50 and 21,684,787

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Solution

The third proportional to 10,269,433.50 and 21,684,787 is: 45,789,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,433.50 : 21,684,787 = 21,684,787 : x
  2. Step 2: Convert to fraction form
    10,269,433.50/21,684,787 = 21,684,787/x
  3. Step 3: Cross multiply
    10,269,433.50x = 21,684,787 × 21,684,787
  4. Step 4: Simplify right side
    10,269,433.50x = 470,229,987,235,369
  5. Step 5: Solve for x
    x = 470,229,987,235,369/10,269,433.50
  6. Step 6: Final answer
    x = 45,789,282.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.