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Finding the Third Proportional to 802.41 and 1,273.22

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Solution

The third proportional to 802.41 and 1,273.22 is: 2,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.41 : 1,273.22 = 1,273.22 : x
  2. Step 2: Convert to fraction form
    802.41/1,273.22 = 1,273.22/x
  3. Step 3: Cross multiply
    802.41x = 1,273.22 × 1,273.22
  4. Step 4: Simplify right side
    802.41x = 1,621,085.99
  5. Step 5: Solve for x
    x = 1,621,085.99/802.41
  6. Step 6: Final answer
    x = 2,020.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.