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Finding the Third Proportional to 617.63 and 1,158.05

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Solution

The third proportional to 617.63 and 1,158.05 is: 2,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.63 : 1,158.05 = 1,158.05 : x
  2. Step 2: Convert to fraction form
    617.63/1,158.05 = 1,158.05/x
  3. Step 3: Cross multiply
    617.63x = 1,158.05 × 1,158.05
  4. Step 4: Simplify right side
    617.63x = 1,341,072.56
  5. Step 5: Solve for x
    x = 1,341,072.56/617.63
  6. Step 6: Final answer
    x = 2,171.34

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.