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Finding the Third Proportional to 78,045 and 165,813

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Solution

The third proportional to 78,045 and 165,813 is: 352,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,045 : 165,813 = 165,813 : x
  2. Step 2: Convert to fraction form
    78,045/165,813 = 165,813/x
  3. Step 3: Cross multiply
    78,045x = 165,813 × 165,813
  4. Step 4: Simplify right side
    78,045x = 27,493,950,969
  5. Step 5: Solve for x
    x = 27,493,950,969/78,045
  6. Step 6: Final answer
    x = 352,283.31

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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.