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Finding the Third Proportional to 395,490 and 869,604

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Solution

The third proportional to 395,490 and 869,604 is: 1,912,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,490 : 869,604 = 869,604 : x
  2. Step 2: Convert to fraction form
    395,490/869,604 = 869,604/x
  3. Step 3: Cross multiply
    395,490x = 869,604 × 869,604
  4. Step 4: Simplify right side
    395,490x = 756,211,116,816
  5. Step 5: Solve for x
    x = 756,211,116,816/395,490
  6. Step 6: Final answer
    x = 1,912,086.57

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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.