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Finding the Third Proportional to 12,770,823 and 19,137,553

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Solution

The third proportional to 12,770,823 and 19,137,553 is: 28,678,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770,823 : 19,137,553 = 19,137,553 : x
  2. Step 2: Convert to fraction form
    12,770,823/19,137,553 = 19,137,553/x
  3. Step 3: Cross multiply
    12,770,823x = 19,137,553 × 19,137,553
  4. Step 4: Simplify right side
    12,770,823x = 366,245,934,827,809
  5. Step 5: Solve for x
    x = 366,245,934,827,809/12,770,823
  6. Step 6: Final answer
    x = 28,678,334.58

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Why These Related Problems?

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