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Finding the Third Proportional to 218,335.50 and 347,187

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Solution

The third proportional to 218,335.50 and 347,187 is: 552,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,335.50 : 347,187 = 347,187 : x
  2. Step 2: Convert to fraction form
    218,335.50/347,187 = 347,187/x
  3. Step 3: Cross multiply
    218,335.50x = 347,187 × 347,187
  4. Step 4: Simplify right side
    218,335.50x = 120,538,812,969
  5. Step 5: Solve for x
    x = 120,538,812,969/218,335.50
  6. Step 6: Final answer
    x = 552,080.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.