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Finding the Third Proportional to 154,720 and 339,308

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Solution

The third proportional to 154,720 and 339,308 is: 744,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,720 : 339,308 = 339,308 : x
  2. Step 2: Convert to fraction form
    154,720/339,308 = 339,308/x
  3. Step 3: Cross multiply
    154,720x = 339,308 × 339,308
  4. Step 4: Simplify right side
    154,720x = 115,129,918,864
  5. Step 5: Solve for x
    x = 115,129,918,864/154,720
  6. Step 6: Final answer
    x = 744,117.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.