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Finding the Third Proportional to 163,003 and 343,705

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Solution

The third proportional to 163,003 and 343,705 is: 724,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,003 : 343,705 = 343,705 : x
  2. Step 2: Convert to fraction form
    163,003/343,705 = 343,705/x
  3. Step 3: Cross multiply
    163,003x = 343,705 × 343,705
  4. Step 4: Simplify right side
    163,003x = 118,133,127,025
  5. Step 5: Solve for x
    x = 118,133,127,025/163,003
  6. Step 6: Final answer
    x = 724,729.77

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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.