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Finding the Third Proportional to 290,296 and 439,820

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Solution

The third proportional to 290,296 and 439,820 is: 666,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296 : 439,820 = 439,820 : x
  2. Step 2: Convert to fraction form
    290,296/439,820 = 439,820/x
  3. Step 3: Cross multiply
    290,296x = 439,820 × 439,820
  4. Step 4: Simplify right side
    290,296x = 193,441,632,400
  5. Step 5: Solve for x
    x = 193,441,632,400/290,296
  6. Step 6: Final answer
    x = 666,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.