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Finding the Third Proportional to 161,791 and 354,686

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Solution

The third proportional to 161,791 and 354,686 is: 777,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,791 : 354,686 = 354,686 : x
  2. Step 2: Convert to fraction form
    161,791/354,686 = 354,686/x
  3. Step 3: Cross multiply
    161,791x = 354,686 × 354,686
  4. Step 4: Simplify right side
    161,791x = 125,802,158,596
  5. Step 5: Solve for x
    x = 125,802,158,596/161,791
  6. Step 6: Final answer
    x = 777,559.68

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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.