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Finding the Third Proportional to 260.30 and 557.02

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Solution

The third proportional to 260.30 and 557.02 is: 1,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 557.02 = 557.02 : x
  2. Step 2: Convert to fraction form
    260.30/557.02 = 557.02/x
  3. Step 3: Cross multiply
    260.30x = 557.02 × 557.02
  4. Step 4: Simplify right side
    260.30x = 310,266.41
  5. Step 5: Solve for x
    x = 310,266.41/260.30
  6. Step 6: Final answer
    x = 1,191.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.