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Finding the Third Proportional to 108,078 and 172,657

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Solution

The third proportional to 108,078 and 172,657 is: 275,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,078 : 172,657 = 172,657 : x
  2. Step 2: Convert to fraction form
    108,078/172,657 = 172,657/x
  3. Step 3: Cross multiply
    108,078x = 172,657 × 172,657
  4. Step 4: Simplify right side
    108,078x = 29,810,439,649
  5. Step 5: Solve for x
    x = 29,810,439,649/108,078
  6. Step 6: Final answer
    x = 275,823.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.