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Finding the Third Proportional to 144,820 and 220,196

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Solution

The third proportional to 144,820 and 220,196 is: 334,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820 : 220,196 = 220,196 : x
  2. Step 2: Convert to fraction form
    144,820/220,196 = 220,196/x
  3. Step 3: Cross multiply
    144,820x = 220,196 × 220,196
  4. Step 4: Simplify right side
    144,820x = 48,486,278,416
  5. Step 5: Solve for x
    x = 48,486,278,416/144,820
  6. Step 6: Final answer
    x = 334,803.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.