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Finding the Third Proportional to 395,064 and 868,896

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Solution

The third proportional to 395,064 and 868,896 is: 1,911,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,064 : 868,896 = 868,896 : x
  2. Step 2: Convert to fraction form
    395,064/868,896 = 868,896/x
  3. Step 3: Cross multiply
    395,064x = 868,896 × 868,896
  4. Step 4: Simplify right side
    395,064x = 754,980,258,816
  5. Step 5: Solve for x
    x = 754,980,258,816/395,064
  6. Step 6: Final answer
    x = 1,911,032.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.