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Finding the Third Proportional to 8,421,716 and 18,522,664

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Solution

The third proportional to 8,421,716 and 18,522,664 is: 40,738,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421,716 : 18,522,664 = 18,522,664 : x
  2. Step 2: Convert to fraction form
    8,421,716/18,522,664 = 18,522,664/x
  3. Step 3: Cross multiply
    8,421,716x = 18,522,664 × 18,522,664
  4. Step 4: Simplify right side
    8,421,716x = 343,089,081,656,896
  5. Step 5: Solve for x
    x = 343,089,081,656,896/8,421,716
  6. Step 6: Final answer
    x = 40,738,619.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.