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Finding the Third Proportional to 382,403 and 824,675

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Solution

The third proportional to 382,403 and 824,675 is: 1,778,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,403 : 824,675 = 824,675 : x
  2. Step 2: Convert to fraction form
    382,403/824,675 = 824,675/x
  3. Step 3: Cross multiply
    382,403x = 824,675 × 824,675
  4. Step 4: Simplify right side
    382,403x = 680,088,855,625
  5. Step 5: Solve for x
    x = 680,088,855,625/382,403
  6. Step 6: Final answer
    x = 1,778,461.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.