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Finding the Third Proportional to 149,518,700 and 218,601,568

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Solution

The third proportional to 149,518,700 and 218,601,568 is: 319,603,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,518,700 : 218,601,568 = 218,601,568 : x
  2. Step 2: Convert to fraction form
    149,518,700/218,601,568 = 218,601,568/x
  3. Step 3: Cross multiply
    149,518,700x = 218,601,568 × 218,601,568
  4. Step 4: Simplify right side
    149,518,700x = 47,786,645,532,058,624
  5. Step 5: Solve for x
    x = 47,786,645,532,058,624/149,518,700
  6. Step 6: Final answer
    x = 319,603,136.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.