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Finding the Third Proportional to 156,640 and 333,800

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Solution

The third proportional to 156,640 and 333,800 is: 711,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640 : 333,800 = 333,800 : x
  2. Step 2: Convert to fraction form
    156,640/333,800 = 333,800/x
  3. Step 3: Cross multiply
    156,640x = 333,800 × 333,800
  4. Step 4: Simplify right side
    156,640x = 111,422,440,000
  5. Step 5: Solve for x
    x = 111,422,440,000/156,640
  6. Step 6: Final answer
    x = 711,328.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.