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Finding the Third Proportional to 163,740 and 343,992

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Solution

The third proportional to 163,740 and 343,992 is: 722,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,740 : 343,992 = 343,992 : x
  2. Step 2: Convert to fraction form
    163,740/343,992 = 343,992/x
  3. Step 3: Cross multiply
    163,740x = 343,992 × 343,992
  4. Step 4: Simplify right side
    163,740x = 118,330,496,064
  5. Step 5: Solve for x
    x = 118,330,496,064/163,740
  6. Step 6: Final answer
    x = 722,673.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.