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Finding the Third Proportional to 645,073.88 and 902,243.81

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Solution

The third proportional to 645,073.88 and 902,243.81 is: 1,261,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,073.88 : 902,243.81 = 902,243.81 : x
  2. Step 2: Convert to fraction form
    645,073.88/902,243.81 = 902,243.81/x
  3. Step 3: Cross multiply
    645,073.88x = 902,243.81 × 902,243.81
  4. Step 4: Simplify right side
    645,073.88x = 814,043,897,194.54
  5. Step 5: Solve for x
    x = 814,043,897,194.54/645,073.88
  6. Step 6: Final answer
    x = 1,261,939.03

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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.