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Finding the Third Proportional to 323,145 and 690,276

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Solution

The third proportional to 323,145 and 690,276 is: 1,474,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,145 : 690,276 = 690,276 : x
  2. Step 2: Convert to fraction form
    323,145/690,276 = 690,276/x
  3. Step 3: Cross multiply
    323,145x = 690,276 × 690,276
  4. Step 4: Simplify right side
    323,145x = 476,480,956,176
  5. Step 5: Solve for x
    x = 476,480,956,176/323,145
  6. Step 6: Final answer
    x = 1,474,511.31

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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.