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Finding the Third Proportional to 154,630.40 and 239,427.64

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Solution

The third proportional to 154,630.40 and 239,427.64 is: 370,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,630.40 : 239,427.64 = 239,427.64 : x
  2. Step 2: Convert to fraction form
    154,630.40/239,427.64 = 239,427.64/x
  3. Step 3: Cross multiply
    154,630.40x = 239,427.64 × 239,427.64
  4. Step 4: Simplify right side
    154,630.40x = 57,325,597,141.14
  5. Step 5: Solve for x
    x = 57,325,597,141.14/154,630.40
  6. Step 6: Final answer
    x = 370,726.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.