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Finding the Third Proportional to 304.59 and 661.03

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Solution

The third proportional to 304.59 and 661.03 is: 1,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.59 : 661.03 = 661.03 : x
  2. Step 2: Convert to fraction form
    304.59/661.03 = 661.03/x
  3. Step 3: Cross multiply
    304.59x = 661.03 × 661.03
  4. Step 4: Simplify right side
    304.59x = 436,962.31
  5. Step 5: Solve for x
    x = 436,962.31/304.59
  6. Step 6: Final answer
    x = 1,434.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.