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Finding the Third Proportional to 163,024 and 343,744

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Solution

The third proportional to 163,024 and 343,744 is: 724,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,024 : 343,744 = 343,744 : x
  2. Step 2: Convert to fraction form
    163,024/343,744 = 343,744/x
  3. Step 3: Cross multiply
    163,024x = 343,744 × 343,744
  4. Step 4: Simplify right side
    163,024x = 118,159,937,536
  5. Step 5: Solve for x
    x = 118,159,937,536/163,024
  6. Step 6: Final answer
    x = 724,800.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.