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Finding the Third Proportional to 485.16 and 1,047.09

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Solution

The third proportional to 485.16 and 1,047.09 is: 2,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 1,047.09 = 1,047.09 : x
  2. Step 2: Convert to fraction form
    485.16/1,047.09 = 1,047.09/x
  3. Step 3: Cross multiply
    485.16x = 1,047.09 × 1,047.09
  4. Step 4: Simplify right side
    485.16x = 1,096,405.32
  5. Step 5: Solve for x
    x = 1,096,405.32/485.16
  6. Step 6: Final answer
    x = 2,259.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.