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Finding the Third Proportional to 517,311 and 807,408

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Solution

The third proportional to 517,311 and 807,408 is: 1,260,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,311 : 807,408 = 807,408 : x
  2. Step 2: Convert to fraction form
    517,311/807,408 = 807,408/x
  3. Step 3: Cross multiply
    517,311x = 807,408 × 807,408
  4. Step 4: Simplify right side
    517,311x = 651,907,678,464
  5. Step 5: Solve for x
    x = 651,907,678,464/517,311
  6. Step 6: Final answer
    x = 1,260,185.22

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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.