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Finding the Third Proportional to 438,180 and 897,128

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Solution

The third proportional to 438,180 and 897,128 is: 1,836,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,180 : 897,128 = 897,128 : x
  2. Step 2: Convert to fraction form
    438,180/897,128 = 897,128/x
  3. Step 3: Cross multiply
    438,180x = 897,128 × 897,128
  4. Step 4: Simplify right side
    438,180x = 804,838,648,384
  5. Step 5: Solve for x
    x = 804,838,648,384/438,180
  6. Step 6: Final answer
    x = 1,836,776.32

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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.