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Finding the Third Proportional to 156,792 and 330,864

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Solution

The third proportional to 156,792 and 330,864 is: 698,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 330,864 = 330,864 : x
  2. Step 2: Convert to fraction form
    156,792/330,864 = 330,864/x
  3. Step 3: Cross multiply
    156,792x = 330,864 × 330,864
  4. Step 4: Simplify right side
    156,792x = 109,470,986,496
  5. Step 5: Solve for x
    x = 109,470,986,496/156,792
  6. Step 6: Final answer
    x = 698,192.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.