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Finding the Third Proportional to 415,085 and 622,629

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Solution

The third proportional to 415,085 and 622,629 is: 933,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,085 : 622,629 = 622,629 : x
  2. Step 2: Convert to fraction form
    415,085/622,629 = 622,629/x
  3. Step 3: Cross multiply
    415,085x = 622,629 × 622,629
  4. Step 4: Simplify right side
    415,085x = 387,666,871,641
  5. Step 5: Solve for x
    x = 387,666,871,641/415,085
  6. Step 6: Final answer
    x = 933,945.75

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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.