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Finding the Third Proportional to 425,109.09 and 635,395.64

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Solution

The third proportional to 425,109.09 and 635,395.64 is: 949,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,109.09 : 635,395.64 = 635,395.64 : x
  2. Step 2: Convert to fraction form
    425,109.09/635,395.64 = 635,395.64/x
  3. Step 3: Cross multiply
    425,109.09x = 635,395.64 × 635,395.64
  4. Step 4: Simplify right side
    425,109.09x = 403,727,620,125.25
  5. Step 5: Solve for x
    x = 403,727,620,125.25/425,109.09
  6. Step 6: Final answer
    x = 949,703.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.