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Finding the Third Proportional to 517,199 and 807,231

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Solution

The third proportional to 517,199 and 807,231 is: 1,259,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,199 : 807,231 = 807,231 : x
  2. Step 2: Convert to fraction form
    517,199/807,231 = 807,231/x
  3. Step 3: Cross multiply
    517,199x = 807,231 × 807,231
  4. Step 4: Simplify right side
    517,199x = 651,621,887,361
  5. Step 5: Solve for x
    x = 651,621,887,361/517,199
  6. Step 6: Final answer
    x = 1,259,905.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.