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Finding the Third Proportional to 391,686 and 528,474

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Solution

The third proportional to 391,686 and 528,474 is: 713,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,686 : 528,474 = 528,474 : x
  2. Step 2: Convert to fraction form
    391,686/528,474 = 528,474/x
  3. Step 3: Cross multiply
    391,686x = 528,474 × 528,474
  4. Step 4: Simplify right side
    391,686x = 279,284,768,676
  5. Step 5: Solve for x
    x = 279,284,768,676/391,686
  6. Step 6: Final answer
    x = 713,032.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.