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Finding the Third Proportional to 455,855.63 and 991,982.25

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Solution

The third proportional to 455,855.63 and 991,982.25 is: 2,158,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,855.63 : 991,982.25 = 991,982.25 : x
  2. Step 2: Convert to fraction form
    455,855.63/991,982.25 = 991,982.25/x
  3. Step 3: Cross multiply
    455,855.63x = 991,982.25 × 991,982.25
  4. Step 4: Simplify right side
    455,855.63x = 984,028,784,315.06
  5. Step 5: Solve for x
    x = 984,028,784,315.06/455,855.63
  6. Step 6: Final answer
    x = 2,158,641.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.