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Finding the Third Proportional to 416,240 and 622,690

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Solution

The third proportional to 416,240 and 622,690 is: 931,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,240 : 622,690 = 622,690 : x
  2. Step 2: Convert to fraction form
    416,240/622,690 = 622,690/x
  3. Step 3: Cross multiply
    416,240x = 622,690 × 622,690
  4. Step 4: Simplify right side
    416,240x = 387,742,836,100
  5. Step 5: Solve for x
    x = 387,742,836,100/416,240
  6. Step 6: Final answer
    x = 931,536.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.