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Finding the Third Proportional to 384,658.45 and 890,415.70

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Solution

The third proportional to 384,658.45 and 890,415.70 is: 2,061,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,658.45 : 890,415.70 = 890,415.70 : x
  2. Step 2: Convert to fraction form
    384,658.45/890,415.70 = 890,415.70/x
  3. Step 3: Cross multiply
    384,658.45x = 890,415.70 × 890,415.70
  4. Step 4: Simplify right side
    384,658.45x = 792,840,124,371.59
  5. Step 5: Solve for x
    x = 792,840,124,371.59/384,658.45
  6. Step 6: Final answer
    x = 2,061,153.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.