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Finding the Third Proportional to 291,942 and 439,208

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Solution

The third proportional to 291,942 and 439,208 is: 660,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,942 : 439,208 = 439,208 : x
  2. Step 2: Convert to fraction form
    291,942/439,208 = 439,208/x
  3. Step 3: Cross multiply
    291,942x = 439,208 × 439,208
  4. Step 4: Simplify right side
    291,942x = 192,903,667,264
  5. Step 5: Solve for x
    x = 192,903,667,264/291,942
  6. Step 6: Final answer
    x = 660,760.24

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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.