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Finding the Third Proportional to 156,735 and 342,873

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Solution

The third proportional to 156,735 and 342,873 is: 750,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,735 : 342,873 = 342,873 : x
  2. Step 2: Convert to fraction form
    156,735/342,873 = 342,873/x
  3. Step 3: Cross multiply
    156,735x = 342,873 × 342,873
  4. Step 4: Simplify right side
    156,735x = 117,561,894,129
  5. Step 5: Solve for x
    x = 117,561,894,129/156,735
  6. Step 6: Final answer
    x = 750,067.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.