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Finding the Third Proportional to 156,553 and 338,112

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Solution

The third proportional to 156,553 and 338,112 is: 730,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,553 : 338,112 = 338,112 : x
  2. Step 2: Convert to fraction form
    156,553/338,112 = 338,112/x
  3. Step 3: Cross multiply
    156,553x = 338,112 × 338,112
  4. Step 4: Simplify right side
    156,553x = 114,319,724,544
  5. Step 5: Solve for x
    x = 114,319,724,544/156,553
  6. Step 6: Final answer
    x = 730,230.17

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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.