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Finding the Third Proportional to 96,252 and 143,580

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Solution

The third proportional to 96,252 and 143,580 is: 214,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,252 : 143,580 = 143,580 : x
  2. Step 2: Convert to fraction form
    96,252/143,580 = 143,580/x
  3. Step 3: Cross multiply
    96,252x = 143,580 × 143,580
  4. Step 4: Simplify right side
    96,252x = 20,615,216,400
  5. Step 5: Solve for x
    x = 20,615,216,400/96,252
  6. Step 6: Final answer
    x = 214,179.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.