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Finding the Third Proportional to 407,062 and 622,681

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Solution

The third proportional to 407,062 and 622,681 is: 952,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,062 : 622,681 = 622,681 : x
  2. Step 2: Convert to fraction form
    407,062/622,681 = 622,681/x
  3. Step 3: Cross multiply
    407,062x = 622,681 × 622,681
  4. Step 4: Simplify right side
    407,062x = 387,731,627,761
  5. Step 5: Solve for x
    x = 387,731,627,761/407,062
  6. Step 6: Final answer
    x = 952,512.46

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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.