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Finding the Third Proportional to 156,448 and 332,288

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Solution

The third proportional to 156,448 and 332,288 is: 705,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,448 : 332,288 = 332,288 : x
  2. Step 2: Convert to fraction form
    156,448/332,288 = 332,288/x
  3. Step 3: Cross multiply
    156,448x = 332,288 × 332,288
  4. Step 4: Simplify right side
    156,448x = 110,415,314,944
  5. Step 5: Solve for x
    x = 110,415,314,944/156,448
  6. Step 6: Final answer
    x = 705,763.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.