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Finding the Third Proportional to 258.75 and 526.38

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Solution

The third proportional to 258.75 and 526.38 is: 1,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 526.38 = 526.38 : x
  2. Step 2: Convert to fraction form
    258.75/526.38 = 526.38/x
  3. Step 3: Cross multiply
    258.75x = 526.38 × 526.38
  4. Step 4: Simplify right side
    258.75x = 277,070.64
  5. Step 5: Solve for x
    x = 277,070.64/258.75
  6. Step 6: Final answer
    x = 1,070.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.