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Finding the Third Proportional to 156,778 and 338,336

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Solution

The third proportional to 156,778 and 338,336 is: 730,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,778 : 338,336 = 338,336 : x
  2. Step 2: Convert to fraction form
    156,778/338,336 = 338,336/x
  3. Step 3: Cross multiply
    156,778x = 338,336 × 338,336
  4. Step 4: Simplify right side
    156,778x = 114,471,248,896
  5. Step 5: Solve for x
    x = 114,471,248,896/156,778
  6. Step 6: Final answer
    x = 730,148.67

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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.