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Finding the Third Proportional to 645,078 and 902,249

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Solution

The third proportional to 645,078 and 902,249 is: 1,261,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,078 : 902,249 = 902,249 : x
  2. Step 2: Convert to fraction form
    645,078/902,249 = 902,249/x
  3. Step 3: Cross multiply
    645,078x = 902,249 × 902,249
  4. Step 4: Simplify right side
    645,078x = 814,053,258,001
  5. Step 5: Solve for x
    x = 814,053,258,001/645,078
  6. Step 6: Final answer
    x = 1,261,945.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.