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Finding the Third Proportional to 137,169 and 330,421.50

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Solution

The third proportional to 137,169 and 330,421.50 is: 795,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,169 : 330,421.50 = 330,421.50 : x
  2. Step 2: Convert to fraction form
    137,169/330,421.50 = 330,421.50/x
  3. Step 3: Cross multiply
    137,169x = 330,421.50 × 330,421.50
  4. Step 4: Simplify right side
    137,169x = 109,178,367,662.25
  5. Step 5: Solve for x
    x = 109,178,367,662.25/137,169
  6. Step 6: Final answer
    x = 795,940.54

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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.