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Finding the Third Proportional to 115,455 and 172,719

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Solution

The third proportional to 115,455 and 172,719 is: 258,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,455 : 172,719 = 172,719 : x
  2. Step 2: Convert to fraction form
    115,455/172,719 = 172,719/x
  3. Step 3: Cross multiply
    115,455x = 172,719 × 172,719
  4. Step 4: Simplify right side
    115,455x = 29,831,852,961
  5. Step 5: Solve for x
    x = 29,831,852,961/115,455
  6. Step 6: Final answer
    x = 258,385.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.