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Finding the Third Proportional to 145,780 and 320,096

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Solution

The third proportional to 145,780 and 320,096 is: 702,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,780 : 320,096 = 320,096 : x
  2. Step 2: Convert to fraction form
    145,780/320,096 = 320,096/x
  3. Step 3: Cross multiply
    145,780x = 320,096 × 320,096
  4. Step 4: Simplify right side
    145,780x = 102,461,449,216
  5. Step 5: Solve for x
    x = 102,461,449,216/145,780
  6. Step 6: Final answer
    x = 702,849.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.