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Finding the Third Proportional to 161,739 and 345,645

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Solution

The third proportional to 161,739 and 345,645 is: 738,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,739 : 345,645 = 345,645 : x
  2. Step 2: Convert to fraction form
    161,739/345,645 = 345,645/x
  3. Step 3: Cross multiply
    161,739x = 345,645 × 345,645
  4. Step 4: Simplify right side
    161,739x = 119,470,466,025
  5. Step 5: Solve for x
    x = 119,470,466,025/161,739
  6. Step 6: Final answer
    x = 738,662.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.