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Finding the Third Proportional to 156,194 and 338,434

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Solution

The third proportional to 156,194 and 338,434 is: 733,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,194 : 338,434 = 338,434 : x
  2. Step 2: Convert to fraction form
    156,194/338,434 = 338,434/x
  3. Step 3: Cross multiply
    156,194x = 338,434 × 338,434
  4. Step 4: Simplify right side
    156,194x = 114,537,572,356
  5. Step 5: Solve for x
    x = 114,537,572,356/156,194
  6. Step 6: Final answer
    x = 733,303.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.