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Finding the Third Proportional to 156,416 and 340,764

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Solution

The third proportional to 156,416 and 340,764 is: 742,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,416 : 340,764 = 340,764 : x
  2. Step 2: Convert to fraction form
    156,416/340,764 = 340,764/x
  3. Step 3: Cross multiply
    156,416x = 340,764 × 340,764
  4. Step 4: Simplify right side
    156,416x = 116,120,103,696
  5. Step 5: Solve for x
    x = 116,120,103,696/156,416
  6. Step 6: Final answer
    x = 742,379.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.