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Finding the Third Proportional to 289,253,420.44 and 440,647,700.06

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Solution

The third proportional to 289,253,420.44 and 440,647,700.06 is: 671,281,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,253,420.44 : 440,647,700.06 = 440,647,700.06 : x
  2. Step 2: Convert to fraction form
    289,253,420.44/440,647,700.06 = 440,647,700.06/x
  3. Step 3: Cross multiply
    289,253,420.44x = 440,647,700.06 × 440,647,700.06
  4. Step 4: Simplify right side
    289,253,420.44x = 194,170,395,570,370,976
  5. Step 5: Solve for x
    x = 194,170,395,570,370,976/289,253,420.44
  6. Step 6: Final answer
    x = 671,281,242.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.