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Finding the Third Proportional to 420,926 and 631,869

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Solution

The third proportional to 420,926 and 631,869 is: 948,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,926 : 631,869 = 631,869 : x
  2. Step 2: Convert to fraction form
    420,926/631,869 = 631,869/x
  3. Step 3: Cross multiply
    420,926x = 631,869 × 631,869
  4. Step 4: Simplify right side
    420,926x = 399,258,433,161
  5. Step 5: Solve for x
    x = 399,258,433,161/420,926
  6. Step 6: Final answer
    x = 948,524.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.