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Finding the Third Proportional to 129.09 and 302.80

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Solution

The third proportional to 129.09 and 302.80 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.09 : 302.80 = 302.80 : x
  2. Step 2: Convert to fraction form
    129.09/302.80 = 302.80/x
  3. Step 3: Cross multiply
    129.09x = 302.80 × 302.80
  4. Step 4: Simplify right side
    129.09x = 91,688.31
  5. Step 5: Solve for x
    x = 91,688.31/129.09
  6. Step 6: Final answer
    x = 710.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.