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Finding the Third Proportional to 428,885 and 916,669

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Solution

The third proportional to 428,885 and 916,669 is: 1,959,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,885 : 916,669 = 916,669 : x
  2. Step 2: Convert to fraction form
    428,885/916,669 = 916,669/x
  3. Step 3: Cross multiply
    428,885x = 916,669 × 916,669
  4. Step 4: Simplify right side
    428,885x = 840,282,055,561
  5. Step 5: Solve for x
    x = 840,282,055,561/428,885
  6. Step 6: Final answer
    x = 1,959,224.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.