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Finding the Third Proportional to 248,336 and 384,440.50

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Solution

The third proportional to 248,336 and 384,440.50 is: 595,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,336 : 384,440.50 = 384,440.50 : x
  2. Step 2: Convert to fraction form
    248,336/384,440.50 = 384,440.50/x
  3. Step 3: Cross multiply
    248,336x = 384,440.50 × 384,440.50
  4. Step 4: Simplify right side
    248,336x = 147,794,498,040.25
  5. Step 5: Solve for x
    x = 147,794,498,040.25/248,336
  6. Step 6: Final answer
    x = 595,139.24

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