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Finding the Third Proportional to 388,841 and 808,721

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Solution

The third proportional to 388,841 and 808,721 is: 1,681,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,841 : 808,721 = 808,721 : x
  2. Step 2: Convert to fraction form
    388,841/808,721 = 808,721/x
  3. Step 3: Cross multiply
    388,841x = 808,721 × 808,721
  4. Step 4: Simplify right side
    388,841x = 654,029,655,841
  5. Step 5: Solve for x
    x = 654,029,655,841/388,841
  6. Step 6: Final answer
    x = 1,681,997.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.