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Finding the Third Proportional to 576,183 and 872,225

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Solution

The third proportional to 576,183 and 872,225 is: 1,320,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,183 : 872,225 = 872,225 : x
  2. Step 2: Convert to fraction form
    576,183/872,225 = 872,225/x
  3. Step 3: Cross multiply
    576,183x = 872,225 × 872,225
  4. Step 4: Simplify right side
    576,183x = 760,776,450,625
  5. Step 5: Solve for x
    x = 760,776,450,625/576,183
  6. Step 6: Final answer
    x = 1,320,372.96

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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.