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Finding the Third Proportional to 155,915 and 172,318

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Solution

The third proportional to 155,915 and 172,318 is: 190,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,915 : 172,318 = 172,318 : x
  2. Step 2: Convert to fraction form
    155,915/172,318 = 172,318/x
  3. Step 3: Cross multiply
    155,915x = 172,318 × 172,318
  4. Step 4: Simplify right side
    155,915x = 29,693,493,124
  5. Step 5: Solve for x
    x = 29,693,493,124/155,915
  6. Step 6: Final answer
    x = 190,446.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.