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Finding the Third Proportional to 307,228 and 668,310

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Solution

The third proportional to 307,228 and 668,310 is: 1,453,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,228 : 668,310 = 668,310 : x
  2. Step 2: Convert to fraction form
    307,228/668,310 = 668,310/x
  3. Step 3: Cross multiply
    307,228x = 668,310 × 668,310
  4. Step 4: Simplify right side
    307,228x = 446,638,256,100
  5. Step 5: Solve for x
    x = 446,638,256,100/307,228
  6. Step 6: Final answer
    x = 1,453,768.07

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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.