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Finding the Third Proportional to 426,048 and 668,320

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Solution

The third proportional to 426,048 and 668,320 is: 1,048,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,048 : 668,320 = 668,320 : x
  2. Step 2: Convert to fraction form
    426,048/668,320 = 668,320/x
  3. Step 3: Cross multiply
    426,048x = 668,320 × 668,320
  4. Step 4: Simplify right side
    426,048x = 446,651,622,400
  5. Step 5: Solve for x
    x = 446,651,622,400/426,048
  6. Step 6: Final answer
    x = 1,048,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.