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Finding the Third Proportional to 221,373 and 310,635

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Solution

The third proportional to 221,373 and 310,635 is: 435,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,373 : 310,635 = 310,635 : x
  2. Step 2: Convert to fraction form
    221,373/310,635 = 310,635/x
  3. Step 3: Cross multiply
    221,373x = 310,635 × 310,635
  4. Step 4: Simplify right side
    221,373x = 96,494,103,225
  5. Step 5: Solve for x
    x = 96,494,103,225/221,373
  6. Step 6: Final answer
    x = 435,889.22

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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.