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Finding the Third Proportional to 161,564.25 and 345,120.75

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Solution

The third proportional to 161,564.25 and 345,120.75 is: 737,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,564.25 : 345,120.75 = 345,120.75 : x
  2. Step 2: Convert to fraction form
    161,564.25/345,120.75 = 345,120.75/x
  3. Step 3: Cross multiply
    161,564.25x = 345,120.75 × 345,120.75
  4. Step 4: Simplify right side
    161,564.25x = 119,108,332,080.56
  5. Step 5: Solve for x
    x = 119,108,332,080.56/161,564.25
  6. Step 6: Final answer
    x = 737,219.60

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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.