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Finding the Third Proportional to 154,948 and 218,196

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Solution

The third proportional to 154,948 and 218,196 is: 307,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,948 : 218,196 = 218,196 : x
  2. Step 2: Convert to fraction form
    154,948/218,196 = 218,196/x
  3. Step 3: Cross multiply
    154,948x = 218,196 × 218,196
  4. Step 4: Simplify right side
    154,948x = 47,609,494,416
  5. Step 5: Solve for x
    x = 47,609,494,416/154,948
  6. Step 6: Final answer
    x = 307,261.11

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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.