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Finding the Third Proportional to 220,609 and 310,662

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Solution

The third proportional to 220,609 and 310,662 is: 437,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,609 : 310,662 = 310,662 : x
  2. Step 2: Convert to fraction form
    220,609/310,662 = 310,662/x
  3. Step 3: Cross multiply
    220,609x = 310,662 × 310,662
  4. Step 4: Simplify right side
    220,609x = 96,510,878,244
  5. Step 5: Solve for x
    x = 96,510,878,244/220,609
  6. Step 6: Final answer
    x = 437,474.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.