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Finding the Third Proportional to 311,627.53 and 669,802.22

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Solution

The third proportional to 311,627.53 and 669,802.22 is: 1,439,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,627.53 : 669,802.22 = 669,802.22 : x
  2. Step 2: Convert to fraction form
    311,627.53/669,802.22 = 669,802.22/x
  3. Step 3: Cross multiply
    311,627.53x = 669,802.22 × 669,802.22
  4. Step 4: Simplify right side
    311,627.53x = 448,635,012,242.42
  5. Step 5: Solve for x
    x = 448,635,012,242.42/311,627.53
  6. Step 6: Final answer
    x = 1,439,651.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.