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Finding the Third Proportional to 291,126.66 and 629,000.44

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Solution

The third proportional to 291,126.66 and 629,000.44 is: 1,359,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,126.66 : 629,000.44 = 629,000.44 : x
  2. Step 2: Convert to fraction form
    291,126.66/629,000.44 = 629,000.44/x
  3. Step 3: Cross multiply
    291,126.66x = 629,000.44 × 629,000.44
  4. Step 4: Simplify right side
    291,126.66x = 395,641,550,375.19
  5. Step 5: Solve for x
    x = 395,641,550,375.19/291,126.66
  6. Step 6: Final answer
    x = 1,359,001.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.