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Finding the Third Proportional to 156,208.50 and 340,686

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Solution

The third proportional to 156,208.50 and 340,686 is: 743,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,208.50 : 340,686 = 340,686 : x
  2. Step 2: Convert to fraction form
    156,208.50/340,686 = 340,686/x
  3. Step 3: Cross multiply
    156,208.50x = 340,686 × 340,686
  4. Step 4: Simplify right side
    156,208.50x = 116,066,950,596
  5. Step 5: Solve for x
    x = 116,066,950,596/156,208.50
  6. Step 6: Final answer
    x = 743,025.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.