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Finding the Third Proportional to 20,068,824 and 30,148,456

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Solution

The third proportional to 20,068,824 and 30,148,456 is: 45,290,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068,824 : 30,148,456 = 30,148,456 : x
  2. Step 2: Convert to fraction form
    20,068,824/30,148,456 = 30,148,456/x
  3. Step 3: Cross multiply
    20,068,824x = 30,148,456 × 30,148,456
  4. Step 4: Simplify right side
    20,068,824x = 908,929,399,183,936
  5. Step 5: Solve for x
    x = 908,929,399,183,936/20,068,824
  6. Step 6: Final answer
    x = 45,290,615.89

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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.