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Finding the Third Proportional to 137,085 and 330,244.50

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Solution

The third proportional to 137,085 and 330,244.50 is: 795,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085 : 330,244.50 = 330,244.50 : x
  2. Step 2: Convert to fraction form
    137,085/330,244.50 = 330,244.50/x
  3. Step 3: Cross multiply
    137,085x = 330,244.50 × 330,244.50
  4. Step 4: Simplify right side
    137,085x = 109,061,429,780.25
  5. Step 5: Solve for x
    x = 109,061,429,780.25/137,085
  6. Step 6: Final answer
    x = 795,575.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.