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Finding the Third Proportional to 306,586.69 and 438,859.69

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Solution

The third proportional to 306,586.69 and 438,859.69 is: 628,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,586.69 : 438,859.69 = 438,859.69 : x
  2. Step 2: Convert to fraction form
    306,586.69/438,859.69 = 438,859.69/x
  3. Step 3: Cross multiply
    306,586.69x = 438,859.69 × 438,859.69
  4. Step 4: Simplify right side
    306,586.69x = 192,597,825,312.60
  5. Step 5: Solve for x
    x = 192,597,825,312.60/306,586.69
  6. Step 6: Final answer
    x = 628,200.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.