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Finding the Third Proportional to 381,638 and 560,786

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Solution

The third proportional to 381,638 and 560,786 is: 824,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,638 : 560,786 = 560,786 : x
  2. Step 2: Convert to fraction form
    381,638/560,786 = 560,786/x
  3. Step 3: Cross multiply
    381,638x = 560,786 × 560,786
  4. Step 4: Simplify right side
    381,638x = 314,480,937,796
  5. Step 5: Solve for x
    x = 314,480,937,796/381,638
  6. Step 6: Final answer
    x = 824,029.41

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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.