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Finding the Third Proportional to 219,487,391.50 and 298,955,260.50

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Solution

The third proportional to 219,487,391.50 and 298,955,260.50 is: 407,195,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,487,391.50 : 298,955,260.50 = 298,955,260.50 : x
  2. Step 2: Convert to fraction form
    219,487,391.50/298,955,260.50 = 298,955,260.50/x
  3. Step 3: Cross multiply
    219,487,391.50x = 298,955,260.50 × 298,955,260.50
  4. Step 4: Simplify right side
    219,487,391.50x = 89,374,247,780,622,864
  5. Step 5: Solve for x
    x = 89,374,247,780,622,864/219,487,391.50
  6. Step 6: Final answer
    x = 407,195,361.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.