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Finding the Third Proportional to 70,385 and 146,575

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Solution

The third proportional to 70,385 and 146,575 is: 305,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385 : 146,575 = 146,575 : x
  2. Step 2: Convert to fraction form
    70,385/146,575 = 146,575/x
  3. Step 3: Cross multiply
    70,385x = 146,575 × 146,575
  4. Step 4: Simplify right side
    70,385x = 21,484,230,625
  5. Step 5: Solve for x
    x = 21,484,230,625/70,385
  6. Step 6: Final answer
    x = 305,238.77

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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.