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Finding the Third Proportional to 427.98 and 611.60

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Solution

The third proportional to 427.98 and 611.60 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 611.60 = 611.60 : x
  2. Step 2: Convert to fraction form
    427.98/611.60 = 611.60/x
  3. Step 3: Cross multiply
    427.98x = 611.60 × 611.60
  4. Step 4: Simplify right side
    427.98x = 374,056.47
  5. Step 5: Solve for x
    x = 374,056.47/427.98
  6. Step 6: Final answer
    x = 874.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.