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Finding the Third Proportional to 156,768 and 344,640

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Solution

The third proportional to 156,768 and 344,640 is: 757,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,768 : 344,640 = 344,640 : x
  2. Step 2: Convert to fraction form
    156,768/344,640 = 344,640/x
  3. Step 3: Cross multiply
    156,768x = 344,640 × 344,640
  4. Step 4: Simplify right side
    156,768x = 118,776,729,600
  5. Step 5: Solve for x
    x = 118,776,729,600/156,768
  6. Step 6: Final answer
    x = 757,659.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.