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Finding the Third Proportional to 528.75 and 790.08

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Solution

The third proportional to 528.75 and 790.08 is: 1,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.75 : 790.08 = 790.08 : x
  2. Step 2: Convert to fraction form
    528.75/790.08 = 790.08/x
  3. Step 3: Cross multiply
    528.75x = 790.08 × 790.08
  4. Step 4: Simplify right side
    528.75x = 624,223.44
  5. Step 5: Solve for x
    x = 624,223.44/528.75
  6. Step 6: Final answer
    x = 1,180.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.