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Finding the Third Proportional to 178,474.64 and 389,506.22

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Solution

The third proportional to 178,474.64 and 389,506.22 is: 850,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474.64 : 389,506.22 = 389,506.22 : x
  2. Step 2: Convert to fraction form
    178,474.64/389,506.22 = 389,506.22/x
  3. Step 3: Cross multiply
    178,474.64x = 389,506.22 × 389,506.22
  4. Step 4: Simplify right side
    178,474.64x = 151,715,094,444.92
  5. Step 5: Solve for x
    x = 151,715,094,444.92/178,474.64
  6. Step 6: Final answer
    x = 850,065.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.