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Finding the Third Proportional to 666,980 and 1,438,936

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Solution

The third proportional to 666,980 and 1,438,936 is: 3,104,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,980 : 1,438,936 = 1,438,936 : x
  2. Step 2: Convert to fraction form
    666,980/1,438,936 = 1,438,936/x
  3. Step 3: Cross multiply
    666,980x = 1,438,936 × 1,438,936
  4. Step 4: Simplify right side
    666,980x = 2,070,536,812,096
  5. Step 5: Solve for x
    x = 2,070,536,812,096/666,980
  6. Step 6: Final answer
    x = 3,104,346.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.