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Finding the Third Proportional to 200,623.50 and 311,649.75

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Solution

The third proportional to 200,623.50 and 311,649.75 is: 484,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,623.50 : 311,649.75 = 311,649.75 : x
  2. Step 2: Convert to fraction form
    200,623.50/311,649.75 = 311,649.75/x
  3. Step 3: Cross multiply
    200,623.50x = 311,649.75 × 311,649.75
  4. Step 4: Simplify right side
    200,623.50x = 97,125,566,675.06
  5. Step 5: Solve for x
    x = 97,125,566,675.06/200,623.50
  6. Step 6: Final answer
    x = 484,118.59

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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.