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Finding the Third Proportional to 393,584 and 552,288

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Solution

The third proportional to 393,584 and 552,288 is: 774,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,584 : 552,288 = 552,288 : x
  2. Step 2: Convert to fraction form
    393,584/552,288 = 552,288/x
  3. Step 3: Cross multiply
    393,584x = 552,288 × 552,288
  4. Step 4: Simplify right side
    393,584x = 305,022,034,944
  5. Step 5: Solve for x
    x = 305,022,034,944/393,584
  6. Step 6: Final answer
    x = 774,985.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.