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Finding the Third Proportional to 380,682 and 535,609

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Solution

The third proportional to 380,682 and 535,609 is: 753,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,682 : 535,609 = 535,609 : x
  2. Step 2: Convert to fraction form
    380,682/535,609 = 535,609/x
  3. Step 3: Cross multiply
    380,682x = 535,609 × 535,609
  4. Step 4: Simplify right side
    380,682x = 286,877,000,881
  5. Step 5: Solve for x
    x = 286,877,000,881/380,682
  6. Step 6: Final answer
    x = 753,586.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.