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Finding the Third Proportional to 378,390 and 585,912

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Solution

The third proportional to 378,390 and 585,912 is: 907,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,390 : 585,912 = 585,912 : x
  2. Step 2: Convert to fraction form
    378,390/585,912 = 585,912/x
  3. Step 3: Cross multiply
    378,390x = 585,912 × 585,912
  4. Step 4: Simplify right side
    378,390x = 343,292,871,744
  5. Step 5: Solve for x
    x = 343,292,871,744/378,390
  6. Step 6: Final answer
    x = 907,246.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.