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Finding the Third Proportional to 100,345,824 and 212,749,344

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Solution

The third proportional to 100,345,824 and 212,749,344 is: 451,062,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345,824 : 212,749,344 = 212,749,344 : x
  2. Step 2: Convert to fraction form
    100,345,824/212,749,344 = 212,749,344/x
  3. Step 3: Cross multiply
    100,345,824x = 212,749,344 × 212,749,344
  4. Step 4: Simplify right side
    100,345,824x = 45,262,283,372,430,336
  5. Step 5: Solve for x
    x = 45,262,283,372,430,336/100,345,824
  6. Step 6: Final answer
    x = 451,062,949.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.