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Finding the Third Proportional to 454.06 and 698.78

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Solution

The third proportional to 454.06 and 698.78 is: 1,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 698.78 = 698.78 : x
  2. Step 2: Convert to fraction form
    454.06/698.78 = 698.78/x
  3. Step 3: Cross multiply
    454.06x = 698.78 × 698.78
  4. Step 4: Simplify right side
    454.06x = 488,295.24
  5. Step 5: Solve for x
    x = 488,295.24/454.06
  6. Step 6: Final answer
    x = 1,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.