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Finding the Third Proportional to 156,783 and 338,720

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Solution

The third proportional to 156,783 and 338,720 is: 731,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783 : 338,720 = 338,720 : x
  2. Step 2: Convert to fraction form
    156,783/338,720 = 338,720/x
  3. Step 3: Cross multiply
    156,783x = 338,720 × 338,720
  4. Step 4: Simplify right side
    156,783x = 114,731,238,400
  5. Step 5: Solve for x
    x = 114,731,238,400/156,783
  6. Step 6: Final answer
    x = 731,783.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.