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Finding the Third Proportional to 8,374,386 and 18,400,296

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Solution

The third proportional to 8,374,386 and 18,400,296 is: 40,429,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374,386 : 18,400,296 = 18,400,296 : x
  2. Step 2: Convert to fraction form
    8,374,386/18,400,296 = 18,400,296/x
  3. Step 3: Cross multiply
    8,374,386x = 18,400,296 × 18,400,296
  4. Step 4: Simplify right side
    8,374,386x = 338,570,892,887,616
  5. Step 5: Solve for x
    x = 338,570,892,887,616/8,374,386
  6. Step 6: Final answer
    x = 40,429,339.28

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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.