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Finding the Third Proportional to 302.04 and 643.64

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Solution

The third proportional to 302.04 and 643.64 is: 1,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.04 : 643.64 = 643.64 : x
  2. Step 2: Convert to fraction form
    302.04/643.64 = 643.64/x
  3. Step 3: Cross multiply
    302.04x = 643.64 × 643.64
  4. Step 4: Simplify right side
    302.04x = 414,273.25
  5. Step 5: Solve for x
    x = 414,273.25/302.04
  6. Step 6: Final answer
    x = 1,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.