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Finding the Third Proportional to 281,515 and 612,137

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Solution

The third proportional to 281,515 and 612,137 is: 1,331,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,515 : 612,137 = 612,137 : x
  2. Step 2: Convert to fraction form
    281,515/612,137 = 612,137/x
  3. Step 3: Cross multiply
    281,515x = 612,137 × 612,137
  4. Step 4: Simplify right side
    281,515x = 374,711,706,769
  5. Step 5: Solve for x
    x = 374,711,706,769/281,515
  6. Step 6: Final answer
    x = 1,331,054.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.