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Finding the Third Proportional to 156,210 and 336,153

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Solution

The third proportional to 156,210 and 336,153 is: 723,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,210 : 336,153 = 336,153 : x
  2. Step 2: Convert to fraction form
    156,210/336,153 = 336,153/x
  3. Step 3: Cross multiply
    156,210x = 336,153 × 336,153
  4. Step 4: Simplify right side
    156,210x = 112,998,839,409
  5. Step 5: Solve for x
    x = 112,998,839,409/156,210
  6. Step 6: Final answer
    x = 723,377.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.