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Finding the Third Proportional to 381,447 and 577,085

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Solution

The third proportional to 381,447 and 577,085 is: 873,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,447 : 577,085 = 577,085 : x
  2. Step 2: Convert to fraction form
    381,447/577,085 = 577,085/x
  3. Step 3: Cross multiply
    381,447x = 577,085 × 577,085
  4. Step 4: Simplify right side
    381,447x = 333,027,097,225
  5. Step 5: Solve for x
    x = 333,027,097,225/381,447
  6. Step 6: Final answer
    x = 873,062.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.