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Finding the Third Proportional to 161,770.50 and 340,308

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Solution

The third proportional to 161,770.50 and 340,308 is: 715,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,770.50 : 340,308 = 340,308 : x
  2. Step 2: Convert to fraction form
    161,770.50/340,308 = 340,308/x
  3. Step 3: Cross multiply
    161,770.50x = 340,308 × 340,308
  4. Step 4: Simplify right side
    161,770.50x = 115,809,534,864
  5. Step 5: Solve for x
    x = 115,809,534,864/161,770.50
  6. Step 6: Final answer
    x = 715,887.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.