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Finding the Third Proportional to 108,658 and 172,887

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Solution

The third proportional to 108,658 and 172,887 is: 275,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,658 : 172,887 = 172,887 : x
  2. Step 2: Convert to fraction form
    108,658/172,887 = 172,887/x
  3. Step 3: Cross multiply
    108,658x = 172,887 × 172,887
  4. Step 4: Simplify right side
    108,658x = 29,889,914,769
  5. Step 5: Solve for x
    x = 29,889,914,769/108,658
  6. Step 6: Final answer
    x = 275,082.50

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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.