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Finding the Third Proportional to 78,043 and 165,807

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Solution

The third proportional to 78,043 and 165,807 is: 352,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043 : 165,807 = 165,807 : x
  2. Step 2: Convert to fraction form
    78,043/165,807 = 165,807/x
  3. Step 3: Cross multiply
    78,043x = 165,807 × 165,807
  4. Step 4: Simplify right side
    78,043x = 27,491,961,249
  5. Step 5: Solve for x
    x = 27,491,961,249/78,043
  6. Step 6: Final answer
    x = 352,266.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.