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Finding the Third Proportional to 281,034 and 421,557

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Solution

The third proportional to 281,034 and 421,557 is: 632,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,034 : 421,557 = 421,557 : x
  2. Step 2: Convert to fraction form
    281,034/421,557 = 421,557/x
  3. Step 3: Cross multiply
    281,034x = 421,557 × 421,557
  4. Step 4: Simplify right side
    281,034x = 177,710,304,249
  5. Step 5: Solve for x
    x = 177,710,304,249/281,034
  6. Step 6: Final answer
    x = 632,344.50

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Why These Related Problems?

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