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Finding the Third Proportional to 156,100 and 328,724

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Solution

The third proportional to 156,100 and 328,724 is: 692,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,100 : 328,724 = 328,724 : x
  2. Step 2: Convert to fraction form
    156,100/328,724 = 328,724/x
  3. Step 3: Cross multiply
    156,100x = 328,724 × 328,724
  4. Step 4: Simplify right side
    156,100x = 108,059,468,176
  5. Step 5: Solve for x
    x = 108,059,468,176/156,100
  6. Step 6: Final answer
    x = 692,245.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.