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Finding the Third Proportional to 380,146 and 531,467

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Solution

The third proportional to 380,146 and 531,467 is: 743,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,146 : 531,467 = 531,467 : x
  2. Step 2: Convert to fraction form
    380,146/531,467 = 531,467/x
  3. Step 3: Cross multiply
    380,146x = 531,467 × 531,467
  4. Step 4: Simplify right side
    380,146x = 282,457,172,089
  5. Step 5: Solve for x
    x = 282,457,172,089/380,146
  6. Step 6: Final answer
    x = 743,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.