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Finding the Third Proportional to 137,611.50 and 218,937

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Solution

The third proportional to 137,611.50 and 218,937 is: 348,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611.50 : 218,937 = 218,937 : x
  2. Step 2: Convert to fraction form
    137,611.50/218,937 = 218,937/x
  3. Step 3: Cross multiply
    137,611.50x = 218,937 × 218,937
  4. Step 4: Simplify right side
    137,611.50x = 47,933,409,969
  5. Step 5: Solve for x
    x = 47,933,409,969/137,611.50
  6. Step 6: Final answer
    x = 348,324.16

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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.