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Finding the Third Proportional to 420,372 and 634,916

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Solution

The third proportional to 420,372 and 634,916 is: 958,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,372 : 634,916 = 634,916 : x
  2. Step 2: Convert to fraction form
    420,372/634,916 = 634,916/x
  3. Step 3: Cross multiply
    420,372x = 634,916 × 634,916
  4. Step 4: Simplify right side
    420,372x = 403,118,327,056
  5. Step 5: Solve for x
    x = 403,118,327,056/420,372
  6. Step 6: Final answer
    x = 958,956.18

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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.