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Finding the Third Proportional to 309,155 and 491,783

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Solution

The third proportional to 309,155 and 491,783 is: 782,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,155 : 491,783 = 491,783 : x
  2. Step 2: Convert to fraction form
    309,155/491,783 = 491,783/x
  3. Step 3: Cross multiply
    309,155x = 491,783 × 491,783
  4. Step 4: Simplify right side
    309,155x = 241,850,519,089
  5. Step 5: Solve for x
    x = 241,850,519,089/309,155
  6. Step 6: Final answer
    x = 782,295.35

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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.