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Finding the Third Proportional to 381,636 and 561,312

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Solution

The third proportional to 381,636 and 561,312 is: 825,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,636 : 561,312 = 561,312 : x
  2. Step 2: Convert to fraction form
    381,636/561,312 = 561,312/x
  3. Step 3: Cross multiply
    381,636x = 561,312 × 561,312
  4. Step 4: Simplify right side
    381,636x = 315,071,161,344
  5. Step 5: Solve for x
    x = 315,071,161,344/381,636
  6. Step 6: Final answer
    x = 825,580.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.