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Finding the Third Proportional to 163,406 and 341,777

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Solution

The third proportional to 163,406 and 341,777 is: 714,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,406 : 341,777 = 341,777 : x
  2. Step 2: Convert to fraction form
    163,406/341,777 = 341,777/x
  3. Step 3: Cross multiply
    163,406x = 341,777 × 341,777
  4. Step 4: Simplify right side
    163,406x = 116,811,517,729
  5. Step 5: Solve for x
    x = 116,811,517,729/163,406
  6. Step 6: Final answer
    x = 714,854.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.