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Finding the Third Proportional to 426,131.25 and 919,860.38

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Solution

The third proportional to 426,131.25 and 919,860.38 is: 1,985,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,131.25 : 919,860.38 = 919,860.38 : x
  2. Step 2: Convert to fraction form
    426,131.25/919,860.38 = 919,860.38/x
  3. Step 3: Cross multiply
    426,131.25x = 919,860.38 × 919,860.38
  4. Step 4: Simplify right side
    426,131.25x = 846,143,109,495.14
  5. Step 5: Solve for x
    x = 846,143,109,495.14/426,131.25
  6. Step 6: Final answer
    x = 1,985,639.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.