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Finding the Third Proportional to 291,967.50 and 629,511

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Solution

The third proportional to 291,967.50 and 629,511 is: 1,357,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967.50 : 629,511 = 629,511 : x
  2. Step 2: Convert to fraction form
    291,967.50/629,511 = 629,511/x
  3. Step 3: Cross multiply
    291,967.50x = 629,511 × 629,511
  4. Step 4: Simplify right side
    291,967.50x = 396,284,099,121
  5. Step 5: Solve for x
    x = 396,284,099,121/291,967.50
  6. Step 6: Final answer
    x = 1,357,288.39

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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.