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Finding the Third Proportional to 200,866.50 and 303,354

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Solution

The third proportional to 200,866.50 and 303,354 is: 458,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.50 : 303,354 = 303,354 : x
  2. Step 2: Convert to fraction form
    200,866.50/303,354 = 303,354/x
  3. Step 3: Cross multiply
    200,866.50x = 303,354 × 303,354
  4. Step 4: Simplify right side
    200,866.50x = 92,023,649,316
  5. Step 5: Solve for x
    x = 92,023,649,316/200,866.50
  6. Step 6: Final answer
    x = 458,133.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.