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Finding the Third Proportional to 306,684.75 and 669,136.50

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Solution

The third proportional to 306,684.75 and 669,136.50 is: 1,459,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,684.75 : 669,136.50 = 669,136.50 : x
  2. Step 2: Convert to fraction form
    306,684.75/669,136.50 = 669,136.50/x
  3. Step 3: Cross multiply
    306,684.75x = 669,136.50 × 669,136.50
  4. Step 4: Simplify right side
    306,684.75x = 447,743,655,632.25
  5. Step 5: Solve for x
    x = 447,743,655,632.25/306,684.75
  6. Step 6: Final answer
    x = 1,459,947.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.