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Finding the Third Proportional to 485.63 and 1,142.63

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Solution

The third proportional to 485.63 and 1,142.63 is: 2,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.63 : 1,142.63 = 1,142.63 : x
  2. Step 2: Convert to fraction form
    485.63/1,142.63 = 1,142.63/x
  3. Step 3: Cross multiply
    485.63x = 1,142.63 × 1,142.63
  4. Step 4: Simplify right side
    485.63x = 1,305,591.89
  5. Step 5: Solve for x
    x = 1,305,591.89/485.63
  6. Step 6: Final answer
    x = 2,688.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.