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Finding the Third Proportional to 212,719.92 and 457,694.30

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Solution

The third proportional to 212,719.92 and 457,694.30 is: 984,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,719.92 : 457,694.30 = 457,694.30 : x
  2. Step 2: Convert to fraction form
    212,719.92/457,694.30 = 457,694.30/x
  3. Step 3: Cross multiply
    212,719.92x = 457,694.30 × 457,694.30
  4. Step 4: Simplify right side
    212,719.92x = 209,484,069,391.90
  5. Step 5: Solve for x
    x = 209,484,069,391.90/212,719.92
  6. Step 6: Final answer
    x = 984,788.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.