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Finding the Third Proportional to 291,224 and 439,509

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Solution

The third proportional to 291,224 and 439,509 is: 663,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224 : 439,509 = 439,509 : x
  2. Step 2: Convert to fraction form
    291,224/439,509 = 439,509/x
  3. Step 3: Cross multiply
    291,224x = 439,509 × 439,509
  4. Step 4: Simplify right side
    291,224x = 193,168,161,081
  5. Step 5: Solve for x
    x = 193,168,161,081/291,224
  6. Step 6: Final answer
    x = 663,297.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.