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Finding the Third Proportional to 305,936 and 656,156

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Solution

The third proportional to 305,936 and 656,156 is: 1,407,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,936 : 656,156 = 656,156 : x
  2. Step 2: Convert to fraction form
    305,936/656,156 = 656,156/x
  3. Step 3: Cross multiply
    305,936x = 656,156 × 656,156
  4. Step 4: Simplify right side
    305,936x = 430,540,696,336
  5. Step 5: Solve for x
    x = 430,540,696,336/305,936
  6. Step 6: Final answer
    x = 1,407,290.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.