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Finding the Third Proportional to 7,726,500 and 16,782,678

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Solution

The third proportional to 7,726,500 and 16,782,678 is: 36,453,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,500 : 16,782,678 = 16,782,678 : x
  2. Step 2: Convert to fraction form
    7,726,500/16,782,678 = 16,782,678/x
  3. Step 3: Cross multiply
    7,726,500x = 16,782,678 × 16,782,678
  4. Step 4: Simplify right side
    7,726,500x = 281,658,280,851,684
  5. Step 5: Solve for x
    x = 281,658,280,851,684/7,726,500
  6. Step 6: Final answer
    x = 36,453,540.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.