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Finding the Third Proportional to 200,329.50 and 311,983.50

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Solution

The third proportional to 200,329.50 and 311,983.50 is: 485,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,329.50 : 311,983.50 = 311,983.50 : x
  2. Step 2: Convert to fraction form
    200,329.50/311,983.50 = 311,983.50/x
  3. Step 3: Cross multiply
    200,329.50x = 311,983.50 × 311,983.50
  4. Step 4: Simplify right side
    200,329.50x = 97,333,704,272.25
  5. Step 5: Solve for x
    x = 97,333,704,272.25/200,329.50
  6. Step 6: Final answer
    x = 485,868.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.