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Finding the Third Proportional to 521,288 and 805,875

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Solution

The third proportional to 521,288 and 805,875 is: 1,245,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,288 : 805,875 = 805,875 : x
  2. Step 2: Convert to fraction form
    521,288/805,875 = 805,875/x
  3. Step 3: Cross multiply
    521,288x = 805,875 × 805,875
  4. Step 4: Simplify right side
    521,288x = 649,434,515,625
  5. Step 5: Solve for x
    x = 649,434,515,625/521,288
  6. Step 6: Final answer
    x = 1,245,826.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.