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Finding the Third Proportional to 407,064 and 622,684

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Solution

The third proportional to 407,064 and 622,684 is: 952,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,064 : 622,684 = 622,684 : x
  2. Step 2: Convert to fraction form
    407,064/622,684 = 622,684/x
  3. Step 3: Cross multiply
    407,064x = 622,684 × 622,684
  4. Step 4: Simplify right side
    407,064x = 387,735,363,856
  5. Step 5: Solve for x
    x = 387,735,363,856/407,064
  6. Step 6: Final answer
    x = 952,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.