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Finding the Third Proportional to 281,275 and 421,942

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Solution

The third proportional to 281,275 and 421,942 is: 632,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,275 : 421,942 = 421,942 : x
  2. Step 2: Convert to fraction form
    281,275/421,942 = 421,942/x
  3. Step 3: Cross multiply
    281,275x = 421,942 × 421,942
  4. Step 4: Simplify right side
    281,275x = 178,035,051,364
  5. Step 5: Solve for x
    x = 178,035,051,364/281,275
  6. Step 6: Final answer
    x = 632,957.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.