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Finding the Third Proportional to 802,194.75 and 1,748,325.38

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Solution

The third proportional to 802,194.75 and 1,748,325.38 is: 3,810,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,194.75 : 1,748,325.38 = 1,748,325.38 : x
  2. Step 2: Convert to fraction form
    802,194.75/1,748,325.38 = 1,748,325.38/x
  3. Step 3: Cross multiply
    802,194.75x = 1,748,325.38 × 1,748,325.38
  4. Step 4: Simplify right side
    802,194.75x = 3,056,641,616,868.89
  5. Step 5: Solve for x
    x = 3,056,641,616,868.89/802,194.75
  6. Step 6: Final answer
    x = 3,810,348.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.