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Finding the Third Proportional to 146,719.13 and 309,200.75

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Solution

The third proportional to 146,719.13 and 309,200.75 is: 651,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,719.13 : 309,200.75 = 309,200.75 : x
  2. Step 2: Convert to fraction form
    146,719.13/309,200.75 = 309,200.75/x
  3. Step 3: Cross multiply
    146,719.13x = 309,200.75 × 309,200.75
  4. Step 4: Simplify right side
    146,719.13x = 95,605,103,800.56
  5. Step 5: Solve for x
    x = 95,605,103,800.56/146,719.13
  6. Step 6: Final answer
    x = 651,619.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.