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Finding the Third Proportional to 403,659.75 and 625,025.25

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Solution

The third proportional to 403,659.75 and 625,025.25 is: 967,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,659.75 : 625,025.25 = 625,025.25 : x
  2. Step 2: Convert to fraction form
    403,659.75/625,025.25 = 625,025.25/x
  3. Step 3: Cross multiply
    403,659.75x = 625,025.25 × 625,025.25
  4. Step 4: Simplify right side
    403,659.75x = 390,656,563,137.56
  5. Step 5: Solve for x
    x = 390,656,563,137.56/403,659.75
  6. Step 6: Final answer
    x = 967,786.76

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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.