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Finding the Third Proportional to 291,606 and 450,330

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Solution

The third proportional to 291,606 and 450,330 is: 695,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,606 : 450,330 = 450,330 : x
  2. Step 2: Convert to fraction form
    291,606/450,330 = 450,330/x
  3. Step 3: Cross multiply
    291,606x = 450,330 × 450,330
  4. Step 4: Simplify right side
    291,606x = 202,797,108,900
  5. Step 5: Solve for x
    x = 202,797,108,900/291,606
  6. Step 6: Final answer
    x = 695,449.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.