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Finding the Third Proportional to 216.61 and 525.84

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Solution

The third proportional to 216.61 and 525.84 is: 1,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 525.84 = 525.84 : x
  2. Step 2: Convert to fraction form
    216.61/525.84 = 525.84/x
  3. Step 3: Cross multiply
    216.61x = 525.84 × 525.84
  4. Step 4: Simplify right side
    216.61x = 276,511.65
  5. Step 5: Solve for x
    x = 276,511.65/216.61
  6. Step 6: Final answer
    x = 1,276.55

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.