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Finding the Third Proportional to 380,280 and 569,235

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Solution

The third proportional to 380,280 and 569,235 is: 852,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,280 : 569,235 = 569,235 : x
  2. Step 2: Convert to fraction form
    380,280/569,235 = 569,235/x
  3. Step 3: Cross multiply
    380,280x = 569,235 × 569,235
  4. Step 4: Simplify right side
    380,280x = 324,028,485,225
  5. Step 5: Solve for x
    x = 324,028,485,225/380,280
  6. Step 6: Final answer
    x = 852,078.69

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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.