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Finding the Third Proportional to 412,128 and 903,960

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Solution

The third proportional to 412,128 and 903,960 is: 1,982,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,128 : 903,960 = 903,960 : x
  2. Step 2: Convert to fraction form
    412,128/903,960 = 903,960/x
  3. Step 3: Cross multiply
    412,128x = 903,960 × 903,960
  4. Step 4: Simplify right side
    412,128x = 817,143,681,600
  5. Step 5: Solve for x
    x = 817,143,681,600/412,128
  6. Step 6: Final answer
    x = 1,982,742.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.