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Finding the Third Proportional to 281,136 and 612,188

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Solution

The third proportional to 281,136 and 612,188 is: 1,333,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,136 : 612,188 = 612,188 : x
  2. Step 2: Convert to fraction form
    281,136/612,188 = 612,188/x
  3. Step 3: Cross multiply
    281,136x = 612,188 × 612,188
  4. Step 4: Simplify right side
    281,136x = 374,774,147,344
  5. Step 5: Solve for x
    x = 374,774,147,344/281,136
  6. Step 6: Final answer
    x = 1,333,070.64

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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.