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Finding the Third Proportional to 380,318 and 569,292

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Solution

The third proportional to 380,318 and 569,292 is: 852,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,318 : 569,292 = 569,292 : x
  2. Step 2: Convert to fraction form
    380,318/569,292 = 569,292/x
  3. Step 3: Cross multiply
    380,318x = 569,292 × 569,292
  4. Step 4: Simplify right side
    380,318x = 324,093,381,264
  5. Step 5: Solve for x
    x = 324,093,381,264/380,318
  6. Step 6: Final answer
    x = 852,164.19

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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.