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Finding the Third Proportional to 281,136 and 612,744

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Solution

The third proportional to 281,136 and 612,744 is: 1,335,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,136 : 612,744 = 612,744 : x
  2. Step 2: Convert to fraction form
    281,136/612,744 = 612,744/x
  3. Step 3: Cross multiply
    281,136x = 612,744 × 612,744
  4. Step 4: Simplify right side
    281,136x = 375,455,209,536
  5. Step 5: Solve for x
    x = 375,455,209,536/281,136
  6. Step 6: Final answer
    x = 1,335,493.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.