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Finding the Third Proportional to 156,788 and 344,789

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Solution

The third proportional to 156,788 and 344,789 is: 758,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,788 : 344,789 = 344,789 : x
  2. Step 2: Convert to fraction form
    156,788/344,789 = 344,789/x
  3. Step 3: Cross multiply
    156,788x = 344,789 × 344,789
  4. Step 4: Simplify right side
    156,788x = 118,879,454,521
  5. Step 5: Solve for x
    x = 118,879,454,521/156,788
  6. Step 6: Final answer
    x = 758,217.81

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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.