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Finding the Third Proportional to 144,290 and 221,907

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Solution

The third proportional to 144,290 and 221,907 is: 341,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,290 : 221,907 = 221,907 : x
  2. Step 2: Convert to fraction form
    144,290/221,907 = 221,907/x
  3. Step 3: Cross multiply
    144,290x = 221,907 × 221,907
  4. Step 4: Simplify right side
    144,290x = 49,242,716,649
  5. Step 5: Solve for x
    x = 49,242,716,649/144,290
  6. Step 6: Final answer
    x = 341,276.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.