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Finding the Third Proportional to 525.80 and 1,085.77

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Solution

The third proportional to 525.80 and 1,085.77 is: 2,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 1,085.77 = 1,085.77 : x
  2. Step 2: Convert to fraction form
    525.80/1,085.77 = 1,085.77/x
  3. Step 3: Cross multiply
    525.80x = 1,085.77 × 1,085.77
  4. Step 4: Simplify right side
    525.80x = 1,178,886.99
  5. Step 5: Solve for x
    x = 1,178,886.99/525.80
  6. Step 6: Final answer
    x = 2,242.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.