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Finding the Third Proportional to 321,255 and 451,264.50

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Solution

The third proportional to 321,255 and 451,264.50 is: 633,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,255 : 451,264.50 = 451,264.50 : x
  2. Step 2: Convert to fraction form
    321,255/451,264.50 = 451,264.50/x
  3. Step 3: Cross multiply
    321,255x = 451,264.50 × 451,264.50
  4. Step 4: Simplify right side
    321,255x = 203,639,648,960.25
  5. Step 5: Solve for x
    x = 203,639,648,960.25/321,255
  6. Step 6: Final answer
    x = 633,887.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.