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Finding the Third Proportional to 415,469 and 918,128

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Solution

The third proportional to 415,469 and 918,128 is: 2,028,933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,469 : 918,128 = 918,128 : x
  2. Step 2: Convert to fraction form
    415,469/918,128 = 918,128/x
  3. Step 3: Cross multiply
    415,469x = 918,128 × 918,128
  4. Step 4: Simplify right side
    415,469x = 842,959,024,384
  5. Step 5: Solve for x
    x = 842,959,024,384/415,469
  6. Step 6: Final answer
    x = 2,028,933.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.