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Finding the Third Proportional to 361,545 and 690,285

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Solution

The third proportional to 361,545 and 690,285 is: 1,317,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,545 : 690,285 = 690,285 : x
  2. Step 2: Convert to fraction form
    361,545/690,285 = 690,285/x
  3. Step 3: Cross multiply
    361,545x = 690,285 × 690,285
  4. Step 4: Simplify right side
    361,545x = 476,493,381,225
  5. Step 5: Solve for x
    x = 476,493,381,225/361,545
  6. Step 6: Final answer
    x = 1,317,936.58

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.