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Finding the Third Proportional to 425,834 and 638,763

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Solution

The third proportional to 425,834 and 638,763 is: 958,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,834 : 638,763 = 638,763 : x
  2. Step 2: Convert to fraction form
    425,834/638,763 = 638,763/x
  3. Step 3: Cross multiply
    425,834x = 638,763 × 638,763
  4. Step 4: Simplify right side
    425,834x = 408,018,170,169
  5. Step 5: Solve for x
    x = 408,018,170,169/425,834
  6. Step 6: Final answer
    x = 958,162.50

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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.