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Finding the Third Proportional to 418,126 and 903,320

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Solution

The third proportional to 418,126 and 903,320 is: 1,951,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,126 : 903,320 = 903,320 : x
  2. Step 2: Convert to fraction form
    418,126/903,320 = 903,320/x
  3. Step 3: Cross multiply
    418,126x = 903,320 × 903,320
  4. Step 4: Simplify right side
    418,126x = 815,987,022,400
  5. Step 5: Solve for x
    x = 815,987,022,400/418,126
  6. Step 6: Final answer
    x = 1,951,533.80

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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.