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Finding the Third Proportional to 425,764 and 638,708

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Solution

The third proportional to 425,764 and 638,708 is: 958,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,764 : 638,708 = 638,708 : x
  2. Step 2: Convert to fraction form
    425,764/638,708 = 638,708/x
  3. Step 3: Cross multiply
    425,764x = 638,708 × 638,708
  4. Step 4: Simplify right side
    425,764x = 407,947,909,264
  5. Step 5: Solve for x
    x = 407,947,909,264/425,764
  6. Step 6: Final answer
    x = 958,155.01

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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.