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Finding the Third Proportional to 645.19 and 985.22

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Solution

The third proportional to 645.19 and 985.22 is: 1,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 985.22 = 985.22 : x
  2. Step 2: Convert to fraction form
    645.19/985.22 = 985.22/x
  3. Step 3: Cross multiply
    645.19x = 985.22 × 985.22
  4. Step 4: Simplify right side
    645.19x = 970,655.99
  5. Step 5: Solve for x
    x = 970,655.99/645.19
  6. Step 6: Final answer
    x = 1,504.46

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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.