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Finding the Third Proportional to 438,176 and 897,120

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Solution

The third proportional to 438,176 and 897,120 is: 1,836,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,176 : 897,120 = 897,120 : x
  2. Step 2: Convert to fraction form
    438,176/897,120 = 897,120/x
  3. Step 3: Cross multiply
    438,176x = 897,120 × 897,120
  4. Step 4: Simplify right side
    438,176x = 804,824,294,400
  5. Step 5: Solve for x
    x = 804,824,294,400/438,176
  6. Step 6: Final answer
    x = 1,836,760.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.