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Finding the Third Proportional to 392,310 and 606,209

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Solution

The third proportional to 392,310 and 606,209 is: 936,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,310 : 606,209 = 606,209 : x
  2. Step 2: Convert to fraction form
    392,310/606,209 = 606,209/x
  3. Step 3: Cross multiply
    392,310x = 606,209 × 606,209
  4. Step 4: Simplify right side
    392,310x = 367,489,351,681
  5. Step 5: Solve for x
    x = 367,489,351,681/392,310
  6. Step 6: Final answer
    x = 936,732.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.