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Finding the Third Proportional to 137,628 and 210,390

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Solution

The third proportional to 137,628 and 210,390 is: 321,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,628 : 210,390 = 210,390 : x
  2. Step 2: Convert to fraction form
    137,628/210,390 = 210,390/x
  3. Step 3: Cross multiply
    137,628x = 210,390 × 210,390
  4. Step 4: Simplify right side
    137,628x = 44,263,952,100
  5. Step 5: Solve for x
    x = 44,263,952,100/137,628
  6. Step 6: Final answer
    x = 321,620.25

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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.