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Finding the Third Proportional to 295,883.50 and 638,979

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Solution

The third proportional to 295,883.50 and 638,979 is: 1,379,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,883.50 : 638,979 = 638,979 : x
  2. Step 2: Convert to fraction form
    295,883.50/638,979 = 638,979/x
  3. Step 3: Cross multiply
    295,883.50x = 638,979 × 638,979
  4. Step 4: Simplify right side
    295,883.50x = 408,294,162,441
  5. Step 5: Solve for x
    x = 408,294,162,441/295,883.50
  6. Step 6: Final answer
    x = 1,379,915.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.