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Finding the Third Proportional to 307,640 and 681,619

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Solution

The third proportional to 307,640 and 681,619 is: 1,510,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,640 : 681,619 = 681,619 : x
  2. Step 2: Convert to fraction form
    307,640/681,619 = 681,619/x
  3. Step 3: Cross multiply
    307,640x = 681,619 × 681,619
  4. Step 4: Simplify right side
    307,640x = 464,604,461,161
  5. Step 5: Solve for x
    x = 464,604,461,161/307,640
  6. Step 6: Final answer
    x = 1,510,221.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.