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Finding the Third Proportional to 395,304 and 869,328

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Solution

The third proportional to 395,304 and 869,328 is: 1,911,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,304 : 869,328 = 869,328 : x
  2. Step 2: Convert to fraction form
    395,304/869,328 = 869,328/x
  3. Step 3: Cross multiply
    395,304x = 869,328 × 869,328
  4. Step 4: Simplify right side
    395,304x = 755,731,171,584
  5. Step 5: Solve for x
    x = 755,731,171,584/395,304
  6. Step 6: Final answer
    x = 1,911,772.13

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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.