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Finding the Third Proportional to 425,763 and 638,707.50

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Solution

The third proportional to 425,763 and 638,707.50 is: 958,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,763 : 638,707.50 = 638,707.50 : x
  2. Step 2: Convert to fraction form
    425,763/638,707.50 = 638,707.50/x
  3. Step 3: Cross multiply
    425,763x = 638,707.50 × 638,707.50
  4. Step 4: Simplify right side
    425,763x = 407,947,270,556.25
  5. Step 5: Solve for x
    x = 407,947,270,556.25/425,763
  6. Step 6: Final answer
    x = 958,155.76

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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.