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Finding the Third Proportional to 210,770.25 and 321,407.25

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Solution

The third proportional to 210,770.25 and 321,407.25 is: 490,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,770.25 : 321,407.25 = 321,407.25 : x
  2. Step 2: Convert to fraction form
    210,770.25/321,407.25 = 321,407.25/x
  3. Step 3: Cross multiply
    210,770.25x = 321,407.25 × 321,407.25
  4. Step 4: Simplify right side
    210,770.25x = 103,302,620,352.56
  5. Step 5: Solve for x
    x = 103,302,620,352.56/210,770.25
  6. Step 6: Final answer
    x = 490,119.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.