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Finding the Third Proportional to 302.47 and 661.94

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Solution

The third proportional to 302.47 and 661.94 is: 1,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 661.94 = 661.94 : x
  2. Step 2: Convert to fraction form
    302.47/661.94 = 661.94/x
  3. Step 3: Cross multiply
    302.47x = 661.94 × 661.94
  4. Step 4: Simplify right side
    302.47x = 438,161.25
  5. Step 5: Solve for x
    x = 438,161.25/302.47
  6. Step 6: Final answer
    x = 1,448.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.