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Finding the Third Proportional to 62,212 and 95,628

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Solution

The third proportional to 62,212 and 95,628 is: 146,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,212 : 95,628 = 95,628 : x
  2. Step 2: Convert to fraction form
    62,212/95,628 = 95,628/x
  3. Step 3: Cross multiply
    62,212x = 95,628 × 95,628
  4. Step 4: Simplify right side
    62,212x = 9,144,714,384
  5. Step 5: Solve for x
    x = 9,144,714,384/62,212
  6. Step 6: Final answer
    x = 146,992.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.