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Finding the Third Proportional to 576,142.88 and 890,200.13

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Solution

The third proportional to 576,142.88 and 890,200.13 is: 1,375,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,142.88 : 890,200.13 = 890,200.13 : x
  2. Step 2: Convert to fraction form
    576,142.88/890,200.13 = 890,200.13/x
  3. Step 3: Cross multiply
    576,142.88x = 890,200.13 × 890,200.13
  4. Step 4: Simplify right side
    576,142.88x = 792,456,262,550.02
  5. Step 5: Solve for x
    x = 792,456,262,550.02/576,142.88
  6. Step 6: Final answer
    x = 1,375,450.95

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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.