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Finding the Third Proportional to 380,459 and 569,500

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Solution

The third proportional to 380,459 and 569,500 is: 852,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,459 : 569,500 = 569,500 : x
  2. Step 2: Convert to fraction form
    380,459/569,500 = 569,500/x
  3. Step 3: Cross multiply
    380,459x = 569,500 × 569,500
  4. Step 4: Simplify right side
    380,459x = 324,330,250,000
  5. Step 5: Solve for x
    x = 324,330,250,000/380,459
  6. Step 6: Final answer
    x = 852,470.96

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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.