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Finding the Third Proportional to 272,428.31 and 425,199.38

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Solution

The third proportional to 272,428.31 and 425,199.38 is: 663,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,428.31 : 425,199.38 = 425,199.38 : x
  2. Step 2: Convert to fraction form
    272,428.31/425,199.38 = 425,199.38/x
  3. Step 3: Cross multiply
    272,428.31x = 425,199.38 × 425,199.38
  4. Step 4: Simplify right side
    272,428.31x = 180,794,508,500.39
  5. Step 5: Solve for x
    x = 180,794,508,500.39/272,428.31
  6. Step 6: Final answer
    x = 663,640.67

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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.