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Finding the Third Proportional to 137,768.25 and 210,604.50

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Solution

The third proportional to 137,768.25 and 210,604.50 is: 321,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,768.25 : 210,604.50 = 210,604.50 : x
  2. Step 2: Convert to fraction form
    137,768.25/210,604.50 = 210,604.50/x
  3. Step 3: Cross multiply
    137,768.25x = 210,604.50 × 210,604.50
  4. Step 4: Simplify right side
    137,768.25x = 44,354,255,420.25
  5. Step 5: Solve for x
    x = 44,354,255,420.25/137,768.25
  6. Step 6: Final answer
    x = 321,948.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.