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Finding the Third Proportional to 307,448 and 668,752

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Solution

The third proportional to 307,448 and 668,752 is: 1,454,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,448 : 668,752 = 668,752 : x
  2. Step 2: Convert to fraction form
    307,448/668,752 = 668,752/x
  3. Step 3: Cross multiply
    307,448x = 668,752 × 668,752
  4. Step 4: Simplify right side
    307,448x = 447,229,237,504
  5. Step 5: Solve for x
    x = 447,229,237,504/307,448
  6. Step 6: Final answer
    x = 1,454,650.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.