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Finding the Third Proportional to 395,068 and 868,904

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Solution

The third proportional to 395,068 and 868,904 is: 1,911,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,068 : 868,904 = 868,904 : x
  2. Step 2: Convert to fraction form
    395,068/868,904 = 868,904/x
  3. Step 3: Cross multiply
    395,068x = 868,904 × 868,904
  4. Step 4: Simplify right side
    395,068x = 754,994,161,216
  5. Step 5: Solve for x
    x = 754,994,161,216/395,068
  6. Step 6: Final answer
    x = 1,911,048.63

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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.