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Finding the Third Proportional to 438,178 and 897,124

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Solution

The third proportional to 438,178 and 897,124 is: 1,836,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,178 : 897,124 = 897,124 : x
  2. Step 2: Convert to fraction form
    438,178/897,124 = 897,124/x
  3. Step 3: Cross multiply
    438,178x = 897,124 × 897,124
  4. Step 4: Simplify right side
    438,178x = 804,831,471,376
  5. Step 5: Solve for x
    x = 804,831,471,376/438,178
  6. Step 6: Final answer
    x = 1,836,768.33

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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.