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Finding the Third Proportional to 161,838 and 333,639

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Solution

The third proportional to 161,838 and 333,639 is: 687,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838 : 333,639 = 333,639 : x
  2. Step 2: Convert to fraction form
    161,838/333,639 = 333,639/x
  3. Step 3: Cross multiply
    161,838x = 333,639 × 333,639
  4. Step 4: Simplify right side
    161,838x = 111,314,982,321
  5. Step 5: Solve for x
    x = 111,314,982,321/161,838
  6. Step 6: Final answer
    x = 687,817.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.