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Finding the Third Proportional to 163,710 and 343,944

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Solution

The third proportional to 163,710 and 343,944 is: 722,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,710 : 343,944 = 343,944 : x
  2. Step 2: Convert to fraction form
    163,710/343,944 = 343,944/x
  3. Step 3: Cross multiply
    163,710x = 343,944 × 343,944
  4. Step 4: Simplify right side
    163,710x = 118,297,475,136
  5. Step 5: Solve for x
    x = 118,297,475,136/163,710
  6. Step 6: Final answer
    x = 722,603.84

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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.