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Finding the Third Proportional to 70,392 and 146,592

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Solution

The third proportional to 70,392 and 146,592 is: 305,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392 : 146,592 = 146,592 : x
  2. Step 2: Convert to fraction form
    70,392/146,592 = 146,592/x
  3. Step 3: Cross multiply
    70,392x = 146,592 × 146,592
  4. Step 4: Simplify right side
    70,392x = 21,489,214,464
  5. Step 5: Solve for x
    x = 21,489,214,464/70,392
  6. Step 6: Final answer
    x = 305,279.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.