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Finding the Third Proportional to 288,680 and 448,082.50

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Solution

The third proportional to 288,680 and 448,082.50 is: 695,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,680 : 448,082.50 = 448,082.50 : x
  2. Step 2: Convert to fraction form
    288,680/448,082.50 = 448,082.50/x
  3. Step 3: Cross multiply
    288,680x = 448,082.50 × 448,082.50
  4. Step 4: Simplify right side
    288,680x = 200,777,926,806.25
  5. Step 5: Solve for x
    x = 200,777,926,806.25/288,680
  6. Step 6: Final answer
    x = 695,503.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.