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Finding the Third Proportional to 196,840,048 and 459,907,168

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Solution

The third proportional to 196,840,048 and 459,907,168 is: 1,074,550,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,840,048 : 459,907,168 = 459,907,168 : x
  2. Step 2: Convert to fraction form
    196,840,048/459,907,168 = 459,907,168/x
  3. Step 3: Cross multiply
    196,840,048x = 459,907,168 × 459,907,168
  4. Step 4: Simplify right side
    196,840,048x = 211,514,603,177,780,224
  5. Step 5: Solve for x
    x = 211,514,603,177,780,224/196,840,048
  6. Step 6: Final answer
    x = 1,074,550,658.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.