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Finding the Third Proportional to 921.80 and 2,057.06

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Solution

The third proportional to 921.80 and 2,057.06 is: 4,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.80 : 2,057.06 = 2,057.06 : x
  2. Step 2: Convert to fraction form
    921.80/2,057.06 = 2,057.06/x
  3. Step 3: Cross multiply
    921.80x = 2,057.06 × 2,057.06
  4. Step 4: Simplify right side
    921.80x = 4,231,506.13
  5. Step 5: Solve for x
    x = 4,231,506.13/921.80
  6. Step 6: Final answer
    x = 4,590.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.