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Finding the Third Proportional to 304,308 and 440,820

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Solution

The third proportional to 304,308 and 440,820 is: 638,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,308 : 440,820 = 440,820 : x
  2. Step 2: Convert to fraction form
    304,308/440,820 = 440,820/x
  3. Step 3: Cross multiply
    304,308x = 440,820 × 440,820
  4. Step 4: Simplify right side
    304,308x = 194,322,272,400
  5. Step 5: Solve for x
    x = 194,322,272,400/304,308
  6. Step 6: Final answer
    x = 638,571.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.