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Finding the Third Proportional to 116,409 and 172,431

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Solution

The third proportional to 116,409 and 172,431 is: 255,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,409 : 172,431 = 172,431 : x
  2. Step 2: Convert to fraction form
    116,409/172,431 = 172,431/x
  3. Step 3: Cross multiply
    116,409x = 172,431 × 172,431
  4. Step 4: Simplify right side
    116,409x = 29,732,449,761
  5. Step 5: Solve for x
    x = 29,732,449,761/116,409
  6. Step 6: Final answer
    x = 255,413.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.