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Finding the Third Proportional to 420,045 and 633,105

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Solution

The third proportional to 420,045 and 633,105 is: 954,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,045 : 633,105 = 633,105 : x
  2. Step 2: Convert to fraction form
    420,045/633,105 = 633,105/x
  3. Step 3: Cross multiply
    420,045x = 633,105 × 633,105
  4. Step 4: Simplify right side
    420,045x = 400,821,941,025
  5. Step 5: Solve for x
    x = 400,821,941,025/420,045
  6. Step 6: Final answer
    x = 954,235.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.