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Finding the Third Proportional to 770,546 and 1,022,433

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Solution

The third proportional to 770,546 and 1,022,433 is: 1,356,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,546 : 1,022,433 = 1,022,433 : x
  2. Step 2: Convert to fraction form
    770,546/1,022,433 = 1,022,433/x
  3. Step 3: Cross multiply
    770,546x = 1,022,433 × 1,022,433
  4. Step 4: Simplify right side
    770,546x = 1,045,369,239,489
  5. Step 5: Solve for x
    x = 1,045,369,239,489/770,546
  6. Step 6: Final answer
    x = 1,356,660.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.