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Finding the Third Proportional to 291,940 and 439,206

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Solution

The third proportional to 291,940 and 439,206 is: 660,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,940 : 439,206 = 439,206 : x
  2. Step 2: Convert to fraction form
    291,940/439,206 = 439,206/x
  3. Step 3: Cross multiply
    291,940x = 439,206 × 439,206
  4. Step 4: Simplify right side
    291,940x = 192,901,910,436
  5. Step 5: Solve for x
    x = 192,901,910,436/291,940
  6. Step 6: Final answer
    x = 660,758.75

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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.