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Finding the Third Proportional to 481,968 and 643,896

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Solution

The third proportional to 481,968 and 643,896 is: 860,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,968 : 643,896 = 643,896 : x
  2. Step 2: Convert to fraction form
    481,968/643,896 = 643,896/x
  3. Step 3: Cross multiply
    481,968x = 643,896 × 643,896
  4. Step 4: Simplify right side
    481,968x = 414,602,058,816
  5. Step 5: Solve for x
    x = 414,602,058,816/481,968
  6. Step 6: Final answer
    x = 860,227.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.