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Finding the Third Proportional to 635,040 and 905,265

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Solution

The third proportional to 635,040 and 905,265 is: 1,290,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,040 : 905,265 = 905,265 : x
  2. Step 2: Convert to fraction form
    635,040/905,265 = 905,265/x
  3. Step 3: Cross multiply
    635,040x = 905,265 × 905,265
  4. Step 4: Simplify right side
    635,040x = 819,504,720,225
  5. Step 5: Solve for x
    x = 819,504,720,225/635,040
  6. Step 6: Final answer
    x = 1,290,477.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.