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Finding the Third Proportional to 200,468.25 and 311,414.63

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Solution

The third proportional to 200,468.25 and 311,414.63 is: 483,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.25 : 311,414.63 = 311,414.63 : x
  2. Step 2: Convert to fraction form
    200,468.25/311,414.63 = 311,414.63/x
  3. Step 3: Cross multiply
    200,468.25x = 311,414.63 × 311,414.63
  4. Step 4: Simplify right side
    200,468.25x = 96,979,068,663.89
  5. Step 5: Solve for x
    x = 96,979,068,663.89/200,468.25
  6. Step 6: Final answer
    x = 483,762.73

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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.