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Finding the Third Proportional to 811.13 and 1,780.31

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Solution

The third proportional to 811.13 and 1,780.31 is: 3,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.13 : 1,780.31 = 1,780.31 : x
  2. Step 2: Convert to fraction form
    811.13/1,780.31 = 1,780.31/x
  3. Step 3: Cross multiply
    811.13x = 1,780.31 × 1,780.31
  4. Step 4: Simplify right side
    811.13x = 3,169,512.60
  5. Step 5: Solve for x
    x = 3,169,512.60/811.13
  6. Step 6: Final answer
    x = 3,907.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.