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Finding the Third Proportional to 388,813 and 634,899

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Solution

The third proportional to 388,813 and 634,899 is: 1,036,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,813 : 634,899 = 634,899 : x
  2. Step 2: Convert to fraction form
    388,813/634,899 = 634,899/x
  3. Step 3: Cross multiply
    388,813x = 634,899 × 634,899
  4. Step 4: Simplify right side
    388,813x = 403,096,740,201
  5. Step 5: Solve for x
    x = 403,096,740,201/388,813
  6. Step 6: Final answer
    x = 1,036,736.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.