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Finding the Third Proportional to 306,361 and 448,861.50

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Solution

The third proportional to 306,361 and 448,861.50 is: 657,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,361 : 448,861.50 = 448,861.50 : x
  2. Step 2: Convert to fraction form
    306,361/448,861.50 = 448,861.50/x
  3. Step 3: Cross multiply
    306,361x = 448,861.50 × 448,861.50
  4. Step 4: Simplify right side
    306,361x = 201,476,646,182.25
  5. Step 5: Solve for x
    x = 201,476,646,182.25/306,361
  6. Step 6: Final answer
    x = 657,644.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.