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Finding the Third Proportional to 302.13 and 623.46

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Solution

The third proportional to 302.13 and 623.46 is: 1,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 623.46 = 623.46 : x
  2. Step 2: Convert to fraction form
    302.13/623.46 = 623.46/x
  3. Step 3: Cross multiply
    302.13x = 623.46 × 623.46
  4. Step 4: Simplify right side
    302.13x = 388,703.54
  5. Step 5: Solve for x
    x = 388,703.54/302.13
  6. Step 6: Final answer
    x = 1,286.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.