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Finding the Third Proportional to 381,206 and 560,721

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Solution

The third proportional to 381,206 and 560,721 is: 824,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,206 : 560,721 = 560,721 : x
  2. Step 2: Convert to fraction form
    381,206/560,721 = 560,721/x
  3. Step 3: Cross multiply
    381,206x = 560,721 × 560,721
  4. Step 4: Simplify right side
    381,206x = 314,408,039,841
  5. Step 5: Solve for x
    x = 314,408,039,841/381,206
  6. Step 6: Final answer
    x = 824,772.01

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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.