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Finding the Third Proportional to 393,165 and 601,209

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Solution

The third proportional to 393,165 and 601,209 is: 919,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,165 : 601,209 = 601,209 : x
  2. Step 2: Convert to fraction form
    393,165/601,209 = 601,209/x
  3. Step 3: Cross multiply
    393,165x = 601,209 × 601,209
  4. Step 4: Simplify right side
    393,165x = 361,452,261,681
  5. Step 5: Solve for x
    x = 361,452,261,681/393,165
  6. Step 6: Final answer
    x = 919,339.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.