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Finding the Third Proportional to 291,078 and 437,697

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Solution

The third proportional to 291,078 and 437,697 is: 658,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,078 : 437,697 = 437,697 : x
  2. Step 2: Convert to fraction form
    291,078/437,697 = 437,697/x
  3. Step 3: Cross multiply
    291,078x = 437,697 × 437,697
  4. Step 4: Simplify right side
    291,078x = 191,578,663,809
  5. Step 5: Solve for x
    x = 191,578,663,809/291,078
  6. Step 6: Final answer
    x = 658,169.51

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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.