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Finding the Third Proportional to 381,461 and 577,102

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Solution

The third proportional to 381,461 and 577,102 is: 873,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,461 : 577,102 = 577,102 : x
  2. Step 2: Convert to fraction form
    381,461/577,102 = 577,102/x
  3. Step 3: Cross multiply
    381,461x = 577,102 × 577,102
  4. Step 4: Simplify right side
    381,461x = 333,046,718,404
  5. Step 5: Solve for x
    x = 333,046,718,404/381,461
  6. Step 6: Final answer
    x = 873,081.96

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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.