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Finding the Third Proportional to 380,472 and 569,520

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Solution

The third proportional to 380,472 and 569,520 is: 852,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,472 : 569,520 = 569,520 : x
  2. Step 2: Convert to fraction form
    380,472/569,520 = 569,520/x
  3. Step 3: Cross multiply
    380,472x = 569,520 × 569,520
  4. Step 4: Simplify right side
    380,472x = 324,353,030,400
  5. Step 5: Solve for x
    x = 324,353,030,400/380,472
  6. Step 6: Final answer
    x = 852,501.71

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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.