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Finding the Third Proportional to 116.09 and 257.80

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Solution

The third proportional to 116.09 and 257.80 is: 572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.09 : 257.80 = 257.80 : x
  2. Step 2: Convert to fraction form
    116.09/257.80 = 257.80/x
  3. Step 3: Cross multiply
    116.09x = 257.80 × 257.80
  4. Step 4: Simplify right side
    116.09x = 66,461.24
  5. Step 5: Solve for x
    x = 66,461.24/116.09
  6. Step 6: Final answer
    x = 572.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.