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Finding the Third Proportional to 288,942.19 and 383,497.03

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Solution

The third proportional to 288,942.19 and 383,497.03 is: 508,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,942.19 : 383,497.03 = 383,497.03 : x
  2. Step 2: Convert to fraction form
    288,942.19/383,497.03 = 383,497.03/x
  3. Step 3: Cross multiply
    288,942.19x = 383,497.03 × 383,497.03
  4. Step 4: Simplify right side
    288,942.19x = 147,069,972,977.56
  5. Step 5: Solve for x
    x = 147,069,972,977.56/288,942.19
  6. Step 6: Final answer
    x = 508,994.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.