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Finding the Third Proportional to 603.49 and 860.84

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Solution

The third proportional to 603.49 and 860.84 is: 1,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.49 : 860.84 = 860.84 : x
  2. Step 2: Convert to fraction form
    603.49/860.84 = 860.84/x
  3. Step 3: Cross multiply
    603.49x = 860.84 × 860.84
  4. Step 4: Simplify right side
    603.49x = 741,038.51
  5. Step 5: Solve for x
    x = 741,038.51/603.49
  6. Step 6: Final answer
    x = 1,227.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.