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Finding the Third Proportional to 12,770,820 and 19,137,548.81

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Solution

The third proportional to 12,770,820 and 19,137,548.81 is: 28,678,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770,820 : 19,137,548.81 = 19,137,548.81 : x
  2. Step 2: Convert to fraction form
    12,770,820/19,137,548.81 = 19,137,548.81/x
  3. Step 3: Cross multiply
    12,770,820x = 19,137,548.81 × 19,137,548.81
  4. Step 4: Simplify right side
    12,770,820x = 366,245,774,550,820.19
  5. Step 5: Solve for x
    x = 366,245,774,550,820.19/12,770,820
  6. Step 6: Final answer
    x = 28,678,328.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.