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Finding the Third Proportional to 449,155.13 and 645,629.17

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Solution

The third proportional to 449,155.13 and 645,629.17 is: 928,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,155.13 : 645,629.17 = 645,629.17 : x
  2. Step 2: Convert to fraction form
    449,155.13/645,629.17 = 645,629.17/x
  3. Step 3: Cross multiply
    449,155.13x = 645,629.17 × 645,629.17
  4. Step 4: Simplify right side
    449,155.13x = 416,837,022,532.02
  5. Step 5: Solve for x
    x = 416,837,022,532.02/449,155.13
  6. Step 6: Final answer
    x = 928,046.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.