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Finding the Third Proportional to 449,222 and 678,511

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Solution

The third proportional to 449,222 and 678,511 is: 1,024,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,222 : 678,511 = 678,511 : x
  2. Step 2: Convert to fraction form
    449,222/678,511 = 678,511/x
  3. Step 3: Cross multiply
    449,222x = 678,511 × 678,511
  4. Step 4: Simplify right side
    449,222x = 460,377,177,121
  5. Step 5: Solve for x
    x = 460,377,177,121/449,222
  6. Step 6: Final answer
    x = 1,024,832.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.