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Finding the Third Proportional to 156,738 and 282,356

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Solution

The third proportional to 156,738 and 282,356 is: 508,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,738 : 282,356 = 282,356 : x
  2. Step 2: Convert to fraction form
    156,738/282,356 = 282,356/x
  3. Step 3: Cross multiply
    156,738x = 282,356 × 282,356
  4. Step 4: Simplify right side
    156,738x = 79,724,910,736
  5. Step 5: Solve for x
    x = 79,724,910,736/156,738
  6. Step 6: Final answer
    x = 508,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.