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Finding the Third Proportional to 307,887.38 and 676,463.81

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Solution

The third proportional to 307,887.38 and 676,463.81 is: 1,486,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,887.38 : 676,463.81 = 676,463.81 : x
  2. Step 2: Convert to fraction form
    307,887.38/676,463.81 = 676,463.81/x
  3. Step 3: Cross multiply
    307,887.38x = 676,463.81 × 676,463.81
  4. Step 4: Simplify right side
    307,887.38x = 457,603,289,622.04
  5. Step 5: Solve for x
    x = 457,603,289,622.04/307,887.38
  6. Step 6: Final answer
    x = 1,486,268.44

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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.