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Finding the Third Proportional to 425,388 and 638,082

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Solution

The third proportional to 425,388 and 638,082 is: 957,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,388 : 638,082 = 638,082 : x
  2. Step 2: Convert to fraction form
    425,388/638,082 = 638,082/x
  3. Step 3: Cross multiply
    425,388x = 638,082 × 638,082
  4. Step 4: Simplify right side
    425,388x = 407,148,638,724
  5. Step 5: Solve for x
    x = 407,148,638,724/425,388
  6. Step 6: Final answer
    x = 957,123

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.