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Finding the Third Proportional to 154,749 and 339,021

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Solution

The third proportional to 154,749 and 339,021 is: 742,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,749 : 339,021 = 339,021 : x
  2. Step 2: Convert to fraction form
    154,749/339,021 = 339,021/x
  3. Step 3: Cross multiply
    154,749x = 339,021 × 339,021
  4. Step 4: Simplify right side
    154,749x = 114,935,238,441
  5. Step 5: Solve for x
    x = 114,935,238,441/154,749
  6. Step 6: Final answer
    x = 742,720.40

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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.