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Finding the Third Proportional to 395,290 and 869,304

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Solution

The third proportional to 395,290 and 869,304 is: 1,911,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,290 : 869,304 = 869,304 : x
  2. Step 2: Convert to fraction form
    395,290/869,304 = 869,304/x
  3. Step 3: Cross multiply
    395,290x = 869,304 × 869,304
  4. Step 4: Simplify right side
    395,290x = 755,689,444,416
  5. Step 5: Solve for x
    x = 755,689,444,416/395,290
  6. Step 6: Final answer
    x = 1,911,734.28

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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.