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Finding the Third Proportional to 395,520 and 869,664

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Solution

The third proportional to 395,520 and 869,664 is: 1,912,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,520 : 869,664 = 869,664 : x
  2. Step 2: Convert to fraction form
    395,520/869,664 = 869,664/x
  3. Step 3: Cross multiply
    395,520x = 869,664 × 869,664
  4. Step 4: Simplify right side
    395,520x = 756,315,472,896
  5. Step 5: Solve for x
    x = 756,315,472,896/395,520
  6. Step 6: Final answer
    x = 1,912,205.38

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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.