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Finding the Third Proportional to 149,518,698 and 218,601,564

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Solution

The third proportional to 149,518,698 and 218,601,564 is: 319,603,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,518,698 : 218,601,564 = 218,601,564 : x
  2. Step 2: Convert to fraction form
    149,518,698/218,601,564 = 218,601,564/x
  3. Step 3: Cross multiply
    149,518,698x = 218,601,564 × 218,601,564
  4. Step 4: Simplify right side
    149,518,698x = 47,786,643,783,246,096
  5. Step 5: Solve for x
    x = 47,786,643,783,246,096/149,518,698
  6. Step 6: Final answer
    x = 319,603,129.39

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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.