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Finding the Third Proportional to 449,100 and 678,303

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Solution

The third proportional to 449,100 and 678,303 is: 1,024,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,100 : 678,303 = 678,303 : x
  2. Step 2: Convert to fraction form
    449,100/678,303 = 678,303/x
  3. Step 3: Cross multiply
    449,100x = 678,303 × 678,303
  4. Step 4: Simplify right side
    449,100x = 460,094,959,809
  5. Step 5: Solve for x
    x = 460,094,959,809/449,100
  6. Step 6: Final answer
    x = 1,024,482.21

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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.