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Finding the Third Proportional to 157,866 and 338,196

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Solution

The third proportional to 157,866 and 338,196 is: 724,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,866 : 338,196 = 338,196 : x
  2. Step 2: Convert to fraction form
    157,866/338,196 = 338,196/x
  3. Step 3: Cross multiply
    157,866x = 338,196 × 338,196
  4. Step 4: Simplify right side
    157,866x = 114,376,534,416
  5. Step 5: Solve for x
    x = 114,376,534,416/157,866
  6. Step 6: Final answer
    x = 724,516.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.