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Finding the Third Proportional to 426,627 and 987,653.25

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Solution

The third proportional to 426,627 and 987,653.25 is: 2,286,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,627 : 987,653.25 = 987,653.25 : x
  2. Step 2: Convert to fraction form
    426,627/987,653.25 = 987,653.25/x
  3. Step 3: Cross multiply
    426,627x = 987,653.25 × 987,653.25
  4. Step 4: Simplify right side
    426,627x = 975,458,942,235.56
  5. Step 5: Solve for x
    x = 975,458,942,235.56/426,627
  6. Step 6: Final answer
    x = 2,286,444.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.