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Finding the Third Proportional to 171,984 and 258,984

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Solution

The third proportional to 171,984 and 258,984 is: 389,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,984 : 258,984 = 258,984 : x
  2. Step 2: Convert to fraction form
    171,984/258,984 = 258,984/x
  3. Step 3: Cross multiply
    171,984x = 258,984 × 258,984
  4. Step 4: Simplify right side
    171,984x = 67,072,712,256
  5. Step 5: Solve for x
    x = 67,072,712,256/171,984
  6. Step 6: Final answer
    x = 389,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.