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Finding the Third Proportional to 425,726 and 634,899

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Solution

The third proportional to 425,726 and 634,899 is: 946,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,726 : 634,899 = 634,899 : x
  2. Step 2: Convert to fraction form
    425,726/634,899 = 634,899/x
  3. Step 3: Cross multiply
    425,726x = 634,899 × 634,899
  4. Step 4: Simplify right side
    425,726x = 403,096,740,201
  5. Step 5: Solve for x
    x = 403,096,740,201/425,726
  6. Step 6: Final answer
    x = 946,845.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.