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Finding the Third Proportional to 422,561.81 and 654,345.84

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Solution

The third proportional to 422,561.81 and 654,345.84 is: 1,013,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,561.81 : 654,345.84 = 654,345.84 : x
  2. Step 2: Convert to fraction form
    422,561.81/654,345.84 = 654,345.84/x
  3. Step 3: Cross multiply
    422,561.81x = 654,345.84 × 654,345.84
  4. Step 4: Simplify right side
    422,561.81x = 428,168,483,232.90
  5. Step 5: Solve for x
    x = 428,168,483,232.90/422,561.81
  6. Step 6: Final answer
    x = 1,013,268.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.