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Finding the Third Proportional to 448,684 and 678,366

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Solution

The third proportional to 448,684 and 678,366 is: 1,025,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,684 : 678,366 = 678,366 : x
  2. Step 2: Convert to fraction form
    448,684/678,366 = 678,366/x
  3. Step 3: Cross multiply
    448,684x = 678,366 × 678,366
  4. Step 4: Simplify right side
    448,684x = 460,180,429,956
  5. Step 5: Solve for x
    x = 460,180,429,956/448,684
  6. Step 6: Final answer
    x = 1,025,622.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.