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Finding the Third Proportional to 157,992 and 338,220

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Solution

The third proportional to 157,992 and 338,220 is: 724,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,992 : 338,220 = 338,220 : x
  2. Step 2: Convert to fraction form
    157,992/338,220 = 338,220/x
  3. Step 3: Cross multiply
    157,992x = 338,220 × 338,220
  4. Step 4: Simplify right side
    157,992x = 114,392,768,400
  5. Step 5: Solve for x
    x = 114,392,768,400/157,992
  6. Step 6: Final answer
    x = 724,041.52

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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.