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Finding the Third Proportional to 156,718 and 329,564

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Solution

The third proportional to 156,718 and 329,564 is: 693,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,718 : 329,564 = 329,564 : x
  2. Step 2: Convert to fraction form
    156,718/329,564 = 329,564/x
  3. Step 3: Cross multiply
    156,718x = 329,564 × 329,564
  4. Step 4: Simplify right side
    156,718x = 108,612,430,096
  5. Step 5: Solve for x
    x = 108,612,430,096/156,718
  6. Step 6: Final answer
    x = 693,043.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.