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Finding the Third Proportional to 8,342,064 and 18,278,568

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Solution

The third proportional to 8,342,064 and 18,278,568 is: 40,050,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342,064 : 18,278,568 = 18,278,568 : x
  2. Step 2: Convert to fraction form
    8,342,064/18,278,568 = 18,278,568/x
  3. Step 3: Cross multiply
    8,342,064x = 18,278,568 × 18,278,568
  4. Step 4: Simplify right side
    8,342,064x = 334,106,048,130,624
  5. Step 5: Solve for x
    x = 334,106,048,130,624/8,342,064
  6. Step 6: Final answer
    x = 40,050,765.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.