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Finding the Third Proportional to 809,740 and 1,153,491

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Solution

The third proportional to 809,740 and 1,153,491 is: 1,643,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,740 : 1,153,491 = 1,153,491 : x
  2. Step 2: Convert to fraction form
    809,740/1,153,491 = 1,153,491/x
  3. Step 3: Cross multiply
    809,740x = 1,153,491 × 1,153,491
  4. Step 4: Simplify right side
    809,740x = 1,330,541,487,081
  5. Step 5: Solve for x
    x = 1,330,541,487,081/809,740
  6. Step 6: Final answer
    x = 1,643,171.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.