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Finding the Third Proportional to 449,094.66 and 678,304.55

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Solution

The third proportional to 449,094.66 and 678,304.55 is: 1,024,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,094.66 : 678,304.55 = 678,304.55 : x
  2. Step 2: Convert to fraction form
    449,094.66/678,304.55 = 678,304.55/x
  3. Step 3: Cross multiply
    449,094.66x = 678,304.55 × 678,304.55
  4. Step 4: Simplify right side
    449,094.66x = 460,097,058,311.30
  5. Step 5: Solve for x
    x = 460,097,058,311.30/449,094.66
  6. Step 6: Final answer
    x = 1,024,499.07

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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.