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Finding the Third Proportional to 323,136 and 690,258

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Solution

The third proportional to 323,136 and 690,258 is: 1,474,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,136 : 690,258 = 690,258 : x
  2. Step 2: Convert to fraction form
    323,136/690,258 = 690,258/x
  3. Step 3: Cross multiply
    323,136x = 690,258 × 690,258
  4. Step 4: Simplify right side
    323,136x = 476,456,106,564
  5. Step 5: Solve for x
    x = 476,456,106,564/323,136
  6. Step 6: Final answer
    x = 1,474,475.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.