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Finding the Third Proportional to 617.06 and 986.91

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Solution

The third proportional to 617.06 and 986.91 is: 1,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 986.91 = 986.91 : x
  2. Step 2: Convert to fraction form
    617.06/986.91 = 986.91/x
  3. Step 3: Cross multiply
    617.06x = 986.91 × 986.91
  4. Step 4: Simplify right side
    617.06x = 973,983.95
  5. Step 5: Solve for x
    x = 973,983.95/617.06
  6. Step 6: Final answer
    x = 1,578.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.