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Finding the Third Proportional to 161,008 and 353,120

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Solution

The third proportional to 161,008 and 353,120 is: 774,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,008 : 353,120 = 353,120 : x
  2. Step 2: Convert to fraction form
    161,008/353,120 = 353,120/x
  3. Step 3: Cross multiply
    161,008x = 353,120 × 353,120
  4. Step 4: Simplify right side
    161,008x = 124,693,734,400
  5. Step 5: Solve for x
    x = 124,693,734,400/161,008
  6. Step 6: Final answer
    x = 774,456.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.