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Finding the Third Proportional to 309,156 and 491,787

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Solution

The third proportional to 309,156 and 491,787 is: 782,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,156 : 491,787 = 491,787 : x
  2. Step 2: Convert to fraction form
    309,156/491,787 = 491,787/x
  3. Step 3: Cross multiply
    309,156x = 491,787 × 491,787
  4. Step 4: Simplify right side
    309,156x = 241,854,453,369
  5. Step 5: Solve for x
    x = 241,854,453,369/309,156
  6. Step 6: Final answer
    x = 782,305.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.