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Finding the Third Proportional to 644.84 and 986.55

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Solution

The third proportional to 644.84 and 986.55 is: 1,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 986.55 = 986.55 : x
  2. Step 2: Convert to fraction form
    644.84/986.55 = 986.55/x
  3. Step 3: Cross multiply
    644.84x = 986.55 × 986.55
  4. Step 4: Simplify right side
    644.84x = 973,290.15
  5. Step 5: Solve for x
    x = 973,290.15/644.84
  6. Step 6: Final answer
    x = 1,509.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.