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Finding the Third Proportional to 392,311 and 606,210

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Solution

The third proportional to 392,311 and 606,210 is: 936,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,311 : 606,210 = 606,210 : x
  2. Step 2: Convert to fraction form
    392,311/606,210 = 606,210/x
  3. Step 3: Cross multiply
    392,311x = 606,210 × 606,210
  4. Step 4: Simplify right side
    392,311x = 367,490,564,100
  5. Step 5: Solve for x
    x = 367,490,564,100/392,311
  6. Step 6: Final answer
    x = 936,732.76

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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.