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Finding the Third Proportional to 678,022 and 920,831

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Solution

The third proportional to 678,022 and 920,831 is: 1,250,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,022 : 920,831 = 920,831 : x
  2. Step 2: Convert to fraction form
    678,022/920,831 = 920,831/x
  3. Step 3: Cross multiply
    678,022x = 920,831 × 920,831
  4. Step 4: Simplify right side
    678,022x = 847,929,730,561
  5. Step 5: Solve for x
    x = 847,929,730,561/678,022
  6. Step 6: Final answer
    x = 1,250,593.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.