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Finding the Third Proportional to 449,005.50 and 678,173.63

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Solution

The third proportional to 449,005.50 and 678,173.63 is: 1,024,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,005.50 : 678,173.63 = 678,173.63 : x
  2. Step 2: Convert to fraction form
    449,005.50/678,173.63 = 678,173.63/x
  3. Step 3: Cross multiply
    449,005.50x = 678,173.63 × 678,173.63
  4. Step 4: Simplify right side
    449,005.50x = 459,919,465,645.64
  5. Step 5: Solve for x
    x = 459,919,465,645.64/449,005.50
  6. Step 6: Final answer
    x = 1,024,306.98

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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.