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Finding the Third Proportional to 1,308.66 and 2,802.09

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Solution

The third proportional to 1,308.66 and 2,802.09 is: 5,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.66 : 2,802.09 = 2,802.09 : x
  2. Step 2: Convert to fraction form
    1,308.66/2,802.09 = 2,802.09/x
  3. Step 3: Cross multiply
    1,308.66x = 2,802.09 × 2,802.09
  4. Step 4: Simplify right side
    1,308.66x = 7,851,729.38
  5. Step 5: Solve for x
    x = 7,851,729.38/1,308.66
  6. Step 6: Final answer
    x = 5,999.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.