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Finding the Third Proportional to 307,966 and 457,450

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Solution

The third proportional to 307,966 and 457,450 is: 679,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,966 : 457,450 = 457,450 : x
  2. Step 2: Convert to fraction form
    307,966/457,450 = 457,450/x
  3. Step 3: Cross multiply
    307,966x = 457,450 × 457,450
  4. Step 4: Simplify right side
    307,966x = 209,260,502,500
  5. Step 5: Solve for x
    x = 209,260,502,500/307,966
  6. Step 6: Final answer
    x = 679,492.22

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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.