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Finding the Third Proportional to 220,726 and 349,745

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Solution

The third proportional to 220,726 and 349,745 is: 554,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,726 : 349,745 = 349,745 : x
  2. Step 2: Convert to fraction form
    220,726/349,745 = 349,745/x
  3. Step 3: Cross multiply
    220,726x = 349,745 × 349,745
  4. Step 4: Simplify right side
    220,726x = 122,321,565,025
  5. Step 5: Solve for x
    x = 122,321,565,025/220,726
  6. Step 6: Final answer
    x = 554,178.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.