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Finding the Third Proportional to 172,401 and 258,810

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Solution

The third proportional to 172,401 and 258,810 is: 388,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,401 : 258,810 = 258,810 : x
  2. Step 2: Convert to fraction form
    172,401/258,810 = 258,810/x
  3. Step 3: Cross multiply
    172,401x = 258,810 × 258,810
  4. Step 4: Simplify right side
    172,401x = 66,982,616,100
  5. Step 5: Solve for x
    x = 66,982,616,100/172,401
  6. Step 6: Final answer
    x = 388,528.00

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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.