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Finding the Third Proportional to 395,070 and 868,908

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Solution

The third proportional to 395,070 and 868,908 is: 1,911,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,070 : 868,908 = 868,908 : x
  2. Step 2: Convert to fraction form
    395,070/868,908 = 868,908/x
  3. Step 3: Cross multiply
    395,070x = 868,908 × 868,908
  4. Step 4: Simplify right side
    395,070x = 755,001,112,464
  5. Step 5: Solve for x
    x = 755,001,112,464/395,070
  6. Step 6: Final answer
    x = 1,911,056.55

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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.