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Finding the Third Proportional to 380,480 and 569,532

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Solution

The third proportional to 380,480 and 569,532 is: 852,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,480 : 569,532 = 569,532 : x
  2. Step 2: Convert to fraction form
    380,480/569,532 = 569,532/x
  3. Step 3: Cross multiply
    380,480x = 569,532 × 569,532
  4. Step 4: Simplify right side
    380,480x = 324,366,699,024
  5. Step 5: Solve for x
    x = 324,366,699,024/380,480
  6. Step 6: Final answer
    x = 852,519.71

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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.